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New Existence of Solutions for Fractional Integro-Differential Equations with Nonseparated Boundary Conditions

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  • Lahcen Ibnelazyz
  • Karim Guida
  • Khalid Hilal
  • Said Melliani

Abstract

Results reported in this article prove the existence and uniqueness of solutions for a class of nonlinear fractional integro-differential equations supplemented by nonseparated boundary value conditions. We consider a new norm to establish the existence of solution via Krasnoselskii fixed point theorem; however, the uniqueness results are obtained by applying the contraction mapping principle. Some examples are provided to illustrate the results.

Suggested Citation

  • Lahcen Ibnelazyz & Karim Guida & Khalid Hilal & Said Melliani, 2021. "New Existence of Solutions for Fractional Integro-Differential Equations with Nonseparated Boundary Conditions," Mathematical Problems in Engineering, Hindawi, vol. 2021, pages 1-13, June.
    • Handle: RePEc:hin:jnlmpe:9915375
    DOI: 10.1155/2021/9915375
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