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On the solution of nonlinear nonlocal Volterra–Fredholm type hybrid fractional differential equation

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Abstract

In this article, we focus on a Caputo hybrid fractional differential equation of order \(1<q <2\) with nonlocal boundary conditions, which is of the Volterra-Fredholm type. We investigate the existence of solutions using Dhage’s fixed point theorem for Banach algebras. At the end we provide an example to illustrate the main result.

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Acknowledgements

The first author gratefully acknowledges Tezpur University, Assam, India for providing partial financial support. We would like to acknowledge the reviewer for providing valuable suggestions. The authors are also thankful to the editor for permitting the manuscript to be revised.

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Authors and Affiliations

  1. Department of Mathematical Sciences, Tezpur University, Sonitpur, Tezpur, Assam, 784028, India

    Darshana Devi & Jayanta Borah

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  1. Darshana Devi
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  2. Jayanta Borah
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Correspondence to Jayanta Borah.

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Communicated by G.D. Veerappa Gowda.

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Devi, D., Borah, J. On the solution of nonlinear nonlocal Volterra–Fredholm type hybrid fractional differential equation. Indian J Pure Appl Math (2023). https://doi.org/10.1007/s13226-023-00462-7

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