Integral Boundary Value Problems for Implicit Fractional Differential Equations Involving Hadamard and Caputo-Hadamard fractional Derivatives
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Authors: P. KARTHIKEYAN AND R. ARUL
DOI: 10.46793/KgJMat2103.331K
Abstract:
In this paper, we examine the existence and uniqueness of integral boundary value problem for implicit fractional differential equations (IFDE’s) involving Hadamard and Caputo-Hadamard fractional derivative. We prove the existence and uniqueness results by utilizing Banach and Schauder’s fixed point theorem. Finally, examples are introduced of our results.
Keywords:
Implicit fractional differential equations, Hadamard fractional operators, boundary condition, fixed point theorem, existence and uniqueness.
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