Journal of Applied Mathematics and Physics

Volume 10, Issue 5 (May 2022)

ISSN Print: 2327-4352   ISSN Online: 2327-4379

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

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DOI: 10.4236/jamp.2022.105113    114 Downloads   513 Views  Citations
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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.

Share and Cite:

Asif, N. (2022) Positive Solution for a Hadamard Fractional Singular Boundary Value Problem of Order μ ∈ (2,3). Journal of Applied Mathematics and Physics, 10, 1631-1641. doi: 10.4236/jamp.2022.105113.

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