Existence of solutions by fixed point theorem of general delay fractional differential equation with p-Laplacian operator
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Date
2023-02-27T00:00:00
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Publisher
American Institute of Mathematical Sciences
Abstract
In this manuscript, the main objective is to analyze the existence, uniqueness,(EU) and stability of positive solution for a general class of non-linear fractional differential equation (FDE) with fractional differential and fractional integral boundary conditions utilizing ?p-Laplacian operator. To continue, we will apply Green�s function to determine the suggested FDE�s equivalent integral form. The Guo-Krasnosel�skii fixed point theorem and the properties of the p-Laplacian operator are utilized to derive the existence results. Hyers-Ulam (HU) stability is additionally evaluated. Further, an application is presented to validate the effectiveness of the result. � 2023 the Author(s), licensee AIMS Press.
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Keywords
Caputo�s derivative, fixed point theorems, Green�s function, Hyres-Ulam stability, Riemann-Liouville integral