TITLE:
Positive Solution for a Hadamard Fractional Singular Boundary Value Problem of Order μ ∈ (2,3)
AUTHORS:
Naseer Ahmad Asif
KEYWORDS:
Hadamard Fractional, Singular BVPs, Positive Solutions, Fixed Point Index
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.10 No.5,
May
26,
2022
ABSTRACT: 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.