### 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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