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Applied Mathematics(A Journal of Chinese Universities) 2022年第1期37卷 21-34页

作者： Aly R.Seadawy Asghar Ali Wafaa A.Albarakati dumitru Baleanu Mathematics department Faculty of scienceTaibah UniversityAl-Madinah Al-MunawarahSaudi Arabia Mathematics Department University of EducationLahoreMultan CampusPakistan Mathematics Department Faculty of scienceKing Abdulaziz UniversityJeddahSaudi Arabia Department of Mathematics Cankaya UniversityAnkaraTurkey

In this paper, we investigate some new traveling wave solutions to Vakhnenko-Parkes equation via three modified mathematical methods. The derived solutions have been obtained including periodic and solitons solutions in the form of trigonometric, hyperbolic, and rational function solutions. The graphical representations of some solutions by assigning particular values to the parameters under prescribed conditions in each solutions and comparing of solutions with those gained by other authors indicate that these employed techniques are more effective, efficient and applicable mathematical tools for solving nonlinear problems in applied science.

关键词： Vakhnenko-Parkes equation(VPE) generalized direct algebraic method extended simple equation method modified F-expansion method

Two-wave,breather wave solutions and stability analysis to the(2+1)-dimensional Ito equation

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Journal of Ocean Engineering and Science 2022年第5期7卷 467-474页

作者： Tukur Abdulkadir Sulaiman Abdullahi Yusuf Evren Hincal dumitru Baleanu Mustafa Bayram Department of Computer Engineering Biruni UniversityIstanbulTurkey Department of Mathematics Federal University DutseJigawaNigeria Department of Mathematics Near East University TRNCMersin 10Turkey Department of Mathematics Cankaya UniversityAnkaraTurkey Institute of Space Sciences MagureleBucharestRomania Department of Medical Research China Medical University HospitalChina Medical UniversityTaichungTaiwan

The current study employs the novel Hirota bilinear scheme to investigate the nonlinear ***,we acquire some two-wave and breather wave solutions to the governing *** are pulsating localized structures that have been used to mimic extreme waves in a variety of nonlinear dispersive media with a narrow banded starting *** recent investigations,on the other hand,imply that breathers can survive in more complex habitats,such as random seas,despite the attributed physical *** authenticity and genuineness of all the acquired solutions agreed with the original *** order to shed more light on these novel solutions,we plot the 3-dimensional and contour graphs to the reported solutions with some suitable *** governing model is also stable because of the idea of linear *** study’s findings may help explain the physics behind some of the challenges facing ocean engineers.

关键词： Governing model Scheme Two-waves and breather wave solution Stability analysis Hirota bilinear

Computational Investigation of Hand Foot Mouth Disease Dynamics with Fuzziness

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Computers, Materials & Continua 2023年第5期75卷 4175-4189页

作者： dumitru Baleanu Fazal Dayan Nauman Ahmed Muhammad Rafiq Ali Raza Muhammad Ozair Ahmad Department of Mathematics Cankaya UniversityBalgatAnkara06530Turkey Department of Medical Research China Medical UniversityTaichung406040Taiwan Department of Computer Science and Mathematics Lebanese American UniversityBeirutLebanon Department of Mathematics School of ScienceUniversity of Management and TechnologyLahore54000Pakistan Department of Mathematics and Statistics University of LahoreLahore54590Pakistan Department of Mathematics Faculty of Science and TechnologyUniversity of Central PunjabLahore54000Pakistan Near East University Mathematics Research CenterDepartment of MathematicsNear East Boulevard99138Nicosia/Mersin 10Turkey Department of Mathematics Govt.Maulana Zafar Ali Khan Graduate College WazirabadPunjab Higher Education Department(PHED)Lahore54000Pakistan

The first major outbreak of the severely complicated hand,foot and mouth disease(HFMD),primarily caused by enterovirus 71,was reported in Taiwan in *** surveillance is needed to assess the spread of *** parameters we use in mathematical models are usually classical mathematical parameters,called crisp parameters,which are taken for *** any biological or physical phenomenon is best explained by *** represent a realistic situation in any mathematical model,fuzzy parameters can be very *** articles have been published on how to control and prevent HFMD from the perspective of public health and statistical ***,few works use fuzzy theory in building models to *** this context,we examined anHFMD model with fuzzy parameters.A Non Standard Finite Difference(NSFD)scheme is developed to solve the *** developed technique retains essential properties such as positivity and dynamic *** simulations are presented to support the analytical *** convergence and consistency of the proposed method are also *** proposed method converges unconditionally while the many classical methods in the literature do not possess this *** this regard,our proposed method can be considered as a reliable tool for studying the dynamics of HFMD.

关键词： Hand foot mouth disease fuzzy parameters NSFD scheme convergence consistency

Pixel’s Quantum Image Enhancement Using Quantum Calculus

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Computers, Materials & Continua 2023年第2期74卷 2531-2539页

作者： Husam Yahya dumitru Baleanu Rabha W.Ibrahim Nadia M.G.Al-Saidi Imam Ja’far Al-Sadiq University Baghdad10064Iraq Department of Mathematics Cankaya UniversityAnkara06530Turkey Institute of Space Sciences Magurele-BucharestR76900Romania Department of Medical Research China Medical University40402Taiwan The Institute of Electrical and Electronics Engineers(IEEE) 94086547Portland97005USA Department of Applied Sciences University of TechnologyBaghdad10066Iraq

The current study provides a quantum calculus-based medical image enhancement technique that dynamically chooses the spatial distribution of image pixel intensity *** technique focuses on boosting the edges and texture of an image while leaving the smooth areas *** brain Magnetic Resonance Imaging(MRI)scans are used to visualize the tumors that have spread throughout the brain in order to gain a better understanding of the stage of brain *** detecting brain cancer is a complex challenge that the medical system faces when diagnosing the *** solve this issue,this research offers a quantum calculus-based MRI image enhancement as a pre-processing step for brain cancer *** proposed image enhancement approach improves images with low gray level changes by estimating the pixel’s quantum *** suggested image enhancement technique is demonstrated to be robust and resistant to major quality changes on a variety ofMRIscan datasets of variable *** scans,the BRISQUE“blind/referenceless image spatial quality evaluator”and the NIQE“natural image quality evaluator”measures were 39.38 and 3.58,*** proposed image enhancement model,according to the data,produces the best image quality ratings,and it may be able to aid medical experts in the diagnosis *** experimental results were achieved using a publicly available collection of MRI scans.

关键词： Quantum calculus MRI brain cancer image enhancement image processing BRISQUE NIQE

Numerical Investigation of Malaria Disease Dynamics in Fuzzy Environment

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Computers, Materials & Continua 2023年第2期74卷 2345-2361页

作者： Fazal Dayan dumitru Baleanu Nauman Ahmed Jan Awrejcewicz Muhammad Rafiq Ali Raza Muhammad Ozair Ahmad Department of Mathematics School of ScienceUniversity of Management and TechnologyLahore54000Pakistan Department of Mathematics Cankaya UniversityBalgatAnkara06530Turkey Department of Medical Research China Medical UniversityTaichung40402Taiwan Institute of Space Sciences Magurele-Bucharest077125Romania Department of Mathematics and Statistics University of LahoreLahore54000Pakistan Department of Automation Biomechanics and MechatronicsLodz University of Technology1/15 Stefanowskiego St.90-924LodzPoland Department of Mathematics Faculty of Science&TechnologyUniversity of Central PunjabLahore54000Pakistan Department of Mathematics Govt.Maulana Zafar Ali Khan Graduate College WazirabadPunjab Higher Education Department(PHED)Lahore54000Pakistan

The application of fuzzy theory is vital in all scientific *** construction of mathematical models with fuzziness is little studied in the *** this in mind and for a better understanding of the disease,an SEIR model of malaria transmission with fuzziness is examined in this study by extending a classicalmodel ofmalaria *** parametersβandδ,being function of the malaria virus load,are considered fuzzy *** steady states and the reproduction number of the model are analyzed in fuzzy senses.A numerical technique is developed in a fuzzy environment to solve the studied model,which retains essential properties such as positivity and dynamic ***,numerical simulations are carried out to illustrate the analytical results of the developed *** most of the classical methods in the literature,the proposed approach converges unconditionally and can be considered a reliable tool for studying malaria disease dynamics.

关键词： SIER model fuzzy parameters malaria NSFD scheme stability

Stochastic Analysis for the Dynamics of a Poliovirus Epidemic Model

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Computer Modeling in Engineering & Sciences 2023年第7期136卷 257-275页

作者： Ali Raza dumitru Baleanu Zafar Ullah Khan Muhammad Mohsin Nauman Ahmed Muhammad Rafiq Pervez Anwar Department of Mathematics Government Maulana Zafar Ali Khan Graduate College WazirabadPunjab Higher Education Department(PHED)Lahore54000Pakistan Department of Mathematics Cankaya UniversityBalgatAnkara06530Turkey Department of Medical Research China Medical UniversityTaichung40402Taiwan Institute of Space Sciences Magurele-Bucharest077125Romania Department of Dermatology Rashid Latif Medical College LahoreLahore54000Pakistan Department of Mathematics Technische Universitat ChemnitzChemnitz6209111Germany Department of Mathematics and Statistics The University of LahoreLahore54590Pakistan Department of Mathematics Faculty of Science and TechnologyUniversity of Central PunjabLahore54000Pakistan Department of Biochemistry University of SialkotSialkot51311Pakistan

Most developing countries such as Afghanistan,Pakistan,India,Bangladesh,and many more are still fighting against *** to the World Health Organization,approximately eighteen million people have been infected with poliovirus in the last two *** Asia,still,some countries are suffering from the *** stochastic behavior of the poliovirus through the transition probabilities and non-parametric perturbation with fundamental properties are *** basic properties of the deterministic model are studied,equilibria,local stability around the stead states,and reproduction *** Maruyama,stochastic Euler,and stochastic Runge-Kutta study the behavior of complex stochastic differential *** main target of this study is to develop a nonstandard computational method that restores dynamical features like positivity,boundedness,and dynamical ***,the existing methods failed to fix the actual behavior of the *** comparison of the proposed approach with existing methods is investigated.

关键词： Poliovirus model differential equations methods analysis

Stability Scrutinization of Agrawal Axisymmetric Flow of Nanofluid through a Permeable Moving Disk Due to Renewable Solar Radiation with Smoluchowski Temperature and Maxwell Velocity Slip Boundary Conditions

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Computer Modeling in Engineering & Sciences 2023年第2期134卷 1371-1392页

作者： Umair Khan Aurang Zaib Anuar Ishak Iskandar Waini El-Sayed M.Sherif dumitru Baleanu Department of Mathematical Sciences Faculty of Science and TechnologyUniversiti Kebangsaan MalaysiaBangi43600Malaysia Department of Mathematics and Social Sciences Sukkur IBA UniversitySukkur65200Pakistan Department of Mathematical Sciences Federal Urdu University of ArtsScience&TechnologyKarachi75300Pakistan Fakulti Teknologi Kejuruteraan Mekanikal dan Pembuatan Universiti Teknikal Malaysia MelakaMelaka76100Malaysia Mechanical Engineering Department College of EngineeringKing Saud UniversityRiyadh11423Saudi Arabia Department of Mathematics Cankaya UniversityAnkara06790Turkey Institute of Space Sciences Magurele077125Romania Department of Medical Research China Medical University HospitalChina Medical UniversityTaichung40447Taiwan

The utilization of solar energy is essential to all living things since the beginning of *** addition to being a constant source of energy,solar energy(SE)can also be used to generate heat and *** technology enables to convert the solar energy into electricity by using thermal solar *** energy is perhaps the most easily accessible and plentiful source of sustainable ***-based nanofluid has been considered as a method to improve solar collector performance by absorbing incoming solar energy *** goal of this research is to explore theoretically the Agrawal axisymmetric flow induced by Cu-water nanofluid over a moving permeable disk caused by solar ***,the impacts of Maxwell velocity and Smoluchowski temperature slip are incorporated to discuss the fine points of nanofluid flow and characteristics of heat *** primary partial differential equations are transformed to similarity equations by employing similarity variables and then utilizing bvp4c to resolve the set of equations *** current numerical approach can produce double solutions by providing suitable initial *** addition,the results revealed that the impact of solar collector efficiency enhances significantly due to nanoparticle volume *** suction parameter delays the boundary layer ***,stability analysis is performed and is found that the upper solution is stable and physically trustworthy while the lower one is unstable.

关键词： Agrawal axisymmetric flow solar energy nanofluid heat transfer slip conditions

Bio-Inspired Modelling of Disease Through Delayed Strategies

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Computers, Materials & Continua 2022年第12期73卷 5717-5734页

作者： Arooj Nasir dumitru Baleanu Ali Raza Pervez Anwar Nauman Ahmed Muhammad Rafiq Tahir Nawaz Cheema Baqai Medical University Karachi75340Pakistan Shalamar Medical and Dental College Lahore54000Pakistan Department of Mathematics Cankaya UniversityBalgatAnkara06530Turkey Department of Medical Research China Medical UniversityTaichung40402Taiwan Institute of Space Sciences Magurele-Bucharest077125Romania Department of Mathematics Govt.Maulana Zafar Ali Khan Graduate College WazirabadPunjab Higher Education Department(PHED)Lahore54000Pakistan Department of Biochemistry University of SialkotSialkot51310Pakistan Department of Mathematics and Statistics The University of LahoreLahore54590Pakistan Department of Mathematics Faculty of SciencesUniversity of Central PunjabLahore54000Pakistan Department of Mathematics University of GujratGujrat52000Pakistan

In 2020,the reported cases were 0.12 million in the six regions to the official report of the World Health Organization(WHO).For most children infected with leprosy,0.008629 million cases were detected under *** total infected ratio of the children population is approximately 4.4 *** to theCOVID-19 pandemic,the awareness programs implementation has been *** disease still has a threat and puts people in *** delayed modeling is critical in various allied sciences,including computational biology,computational chemistry,computational physics,and computational economics,to name a *** time delay effect in treating leprosy delayed epidemic model is *** whole population is divided into four groups:those who are susceptible,those who have been exposed,those who have been infected,and those who have been *** local and global stability of well-known conclusions like the Routh Hurwitz criterion and the Lyapunov function has been *** parameters’sensitivity is also *** analytical analysis is supported by computer results that are presented in a variety of *** proposed approach in this paper preserves equilibrium points and their stabilities,the existence and uniqueness of solutions,and the computational ease of implementation.

关键词： Leprosy disease delayed model stability analysis computer results

Brain network correlates of epilepsy occurrence in multiple sclerosis and neuroinflammation

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Neural Regeneration Research 2023年第8期18卷 1717-1718页

作者： dumitru Ciolac Gabriel Gonzalez-Escamilla Yaroslav Winter Vinzenz Fleischer Matthias Grothe Sergiu Groppa Department of Neurology Focus Program Translational NeuroscienceRhine Main Neuroscience Network(rmn2)University Medical Center of the Johannes Gutenberg University MainzMainzGermany State University of Medicine and Pharmacy“Nicolae Testemitanu” ChisinauRepublic of Moldova Department of Neurology Institute of Emergency MedicineChisinauRepublic of Moldova Mainz Comprehensive Epilepsy and Sleep Medicine Center Department of NeurologyJohannes Gutenberg University MainzMainzGermany Department of Neurology Philipps-UniversityMarburgGermany Department of Neurology Heinrich Heine UniversityDüsseldorfGermany

Multiple sclerosis(MS),the most common inflammatory condition of the central nervous system in young adults,is characterized by immunemediated demyelination and neurodegeneration that translate into heterogeneous clin... 详细信息

关键词： epilepsy inflammation sclerosis

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Computer Modeling in Engineering & Sciences 2022年第1期130卷 221-232页

作者： Rabha W.Ibrahim Ahmed M.Ajaj Nadia M.G.Al-Saidi dumitru Balean Institute of Electrical and Electronics Engineers Kuala LumpurMalaysia Department of Islamic Finance and Banking College of Islamic SciencesIraqi UniversityAdhamiyahIraq Department of Applied Sciences University of TechnologyBaghdadIraq Department of Mathematics Cankaya UniversityAnkaraTurkey Institute of Space Sciences Magurele-BucharestRomania Department of Medical Research China Medical UniversityTaichungTaiwanChina

The science of strategy(game theory)is known as the optimal decision-making of autonomous and challenging players in a strategic *** are different strategies to complete the optimal *** of these strategies is the similarity *** technique is a generalization of the symmetric strategy,which depends only on the other approaches employed,which can be formulated by altering *** of these methods is the fractal *** this investigation,we present a new method studying the similarity analytic solution(SAS)of a 3D-fractal nanofluid system(FNFS).The dynamic evolution is completely given by the concept of differential subordination and *** andmajorization relationships are the sets of observable *** theory can simplify the conditions under which particular sets *** offer an explicit construction for the complex possible velocity,energy and thermal functions of two-dimensional fluid flow(the complex variable is suggested in the open unit disk,where the disk is selected at a constant temperature and concentration with uniform velocity).We establish that whenever the 3D-fractal nanofluid systemis approximated by a fractal function,the solution has the same property,so a class of fractal tangent function gives ***,we demonstrate some simulations and examples that give the consequences of this methodology.

关键词： Analytic function open unit disk subordination and super-ordination fractional chaotic function similarity solution symmetry fractal fluid