On Time Fractional Partial Differential Equations and Their Solution by Certain Formable Transform Decomposition Method
作者机构：Department of MathematicsZarqa UniversityZarqa13110Jordan Department of MathematicsFaculty of ScienceAl-Balqa Applied UniversityAmman11134Jordan
出 版 物：《Computer Modeling in Engineering & Sciences》 (工程与科学中的计算机建模（英文）)
年 卷 期：2023年第136卷第9期
页 面：3121-3139页
核心收录：
学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学]
基 金：funded by the Deanship of Research in Zarqa University Jordan
主 题：Caputo derivative fractional differential equations formable transform time-fractional klein-gordon equation decomposition method
摘 要：This paper aims to investigate a new efficient method for solving time fractional partial differential *** this orientation,a reliable formable transform decomposition method has been designed and developed,which is a novel combination of the formable integral transform and the decomposition ***,certain accurate solutions for time-fractional partial differential equations have been *** under concern demandsmore simple calculations and fewer efforts compared to the ***,the posed formable transformdecompositionmethod has been utilized to yield a series solution for given fractional partial differential ***,several interesting formulas relevant to the formable integral transform are applied to fractional operators which are performed as an excellent application to the existing ***,the formable transform decomposition method has been employed for finding a series solution to a time-fractional Klein-Gordon *** and above,some numerical simulations are also provided to ensure reliability and accuracy of the new approach.
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