Positive Solution for a Hadamard Fractional Singular Boundary Value Problem of Order μ ∈(2,3)

作     者：Naseer Ahmad Asif Naseer Ahmad Asif

作者机构：Department of Mathematics School of Science University of Management and Technology Lahore Pakistan 

出 版 物：《Journal of Applied Mathematics and Physics》 (应用数学与应用物理（英文）)

年 卷 期：2022年第10卷第5期

页      面：1631-1641页

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

主　　题：Hadamard Fractional Singular BVPs Positive Solutions Fixed Point Index 

摘      要：In this article, we establish the existence of positive solution for the following Hadamard fractional singular boundary value problem where is continuous and singular at t = a, t = b and x = 0. Further, is Hadamard fractional derivative of order μ. Moreover, the existence of positive solution has been established using fixed point index for a completely continuous map in a cone. Also, an example is included to show the validity of our result.