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Application of Fixed Point Theorem to Solvability for Non-Linear Fractional Hadamard Functional Integral Equations

Author

Listed:
  • Vijai Kumar Pathak

    (Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology, Vellore 632 014, Tamil Nadu, India)

  • Lakshmi Narayan Mishra

    (Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology, Vellore 632 014, Tamil Nadu, India)

Abstract

In the present paper, our main work aims to discover the existence result of the fractional order non-linear Hadamard functional integral equations on [ 1 , a ] by employing the theory of measure of non-compactness together with the fixed point theory in Banach space. An example is presented to see the validity and practicability of our existence result.

Suggested Citation

  • Vijai Kumar Pathak & Lakshmi Narayan Mishra, 2022. "Application of Fixed Point Theorem to Solvability for Non-Linear Fractional Hadamard Functional Integral Equations," Mathematics, MDPI, vol. 10(14), pages 1-16, July.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:14:p:2400-:d:858653
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    References listed on IDEAS

    as
    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.
    2. Xiao-yong, Zhang, 2020. "A new strategy for the numerical solution of nonlinear Volterra integral equations with vanishing delays," Applied Mathematics and Computation, Elsevier, vol. 365(C).
    3. Pan, Yubin & Huang, Jin, 2020. "Extrapolation method for solving two-dimensional volterral integral equations of the second kind," Applied Mathematics and Computation, Elsevier, vol. 367(C).
    Full references (including those not matched with items on IDEAS)

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