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

Positive Solution for a Hadamard Fractional Singular Boundary Value Problem of Order μ ∈(2,3)
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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. 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.
作者 Naseer Ahmad Asif Naseer Ahmad Asif(Department of Mathematics, School of Science, University of Management and Technology, Lahore, Pakistan)
出处 《Journal of Applied Mathematics and Physics》 2022年第5期1631-1641,共11页 应用数学与应用物理(英文)
关键词 Hadamard Fractional Singular BVPs Positive Solutions Fixed Point Index Hadamard Fractional Singular BVPs Positive Solutions Fixed Point Index
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