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A Darbo fixed point theory approach towards the existence of a functional integral equation in a Banach algebra

Author

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  • Sen, Mausumi
  • Saha, Dipankar
  • Agarwal, R.P.

Abstract

This paper investigates the nonlinear functional-integral equation comprising of Hadamard fractional operator. Using the concept of measure of non compactness, existence of solutions in Banach algebra has been studied under certain relevant assumptions in conjunction with fixed point theory. Finally an example has been considered to substantiate the validity of the result.

Suggested Citation

  • Sen, Mausumi & Saha, Dipankar & Agarwal, R.P., 2019. "A Darbo fixed point theory approach towards the existence of a functional integral equation in a Banach algebra," Applied Mathematics and Computation, Elsevier, vol. 358(C), pages 111-118.
    • Handle: RePEc:eee:apmaco:v:358:y:2019:i:c:p:111-118
    DOI: 10.1016/j.amc.2019.04.021
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    References listed on IDEAS

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    1. Mishra, Lakshmi Narayan & Sen, Mausumi, 2016. "On the concept of existence and local attractivity of solutions for some quadratic Volterra integral equation of fractional order," Applied Mathematics and Computation, Elsevier, vol. 285(C), pages 174-183.
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    Cited by:

    1. Deep, Amar & Deepmala, & Hazarika, Bipan, 2021. "An existence result for Hadamard type two dimensional fractional functional integral equations via measure of noncompactness," Chaos, Solitons & Fractals, Elsevier, vol. 147(C).
    2. Ateq Alsaadi & Mieczysław Cichoń & Mohamed M. A. Metwali, 2022. "Integrable Solutions for Gripenberg-Type Equations with m -Product of Fractional Operators and Applications to Initial Value Problems," Mathematics, MDPI, vol. 10(7), pages 1-18, April.

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