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Existence Results for the Solution of the Hybrid Caputo-Hadamard Fractional Differential Problems Using Dhage's Approach
Journal article   Peer reviewed

Existence Results for the Solution of the Hybrid Caputo-Hadamard Fractional Differential Problems Using Dhage's Approach

Muhammad Yaseen, Sadia Mumtaz, Reny George and Azhar Hussain
Fractal and fractional, Vol.6(1), p.17
01/01/2022
DOI: https://doi.org/10.3390/fractalfract6010017

Abstract

Mathematics Mathematics, Interdisciplinary Applications Physical Sciences Science & Technology
In this work, we explore the existence results for the hybrid Caputo-Hadamard fractional boundary value problem (CH-FBVP). The inclusion version of the proposed BVP with a three-point hybrid Caputo-Hadamard terminal conditions is also considered and the related existence results are provided. To achieve these goals, we utilize the well-known fixed point theorems attributed to Dhage for both BVPs. Moreover, we present two numerical examples to validate our analytical findings.

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