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A Coupled System of Caputo–Hadamard Fractional Hybrid Differential Equations with Three-Point Boundary Conditions

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  • Meraa Arab
  • Muath Awadalla
  • Hamdi Gassara

Abstract

This article presents a study of the existence and uniqueness of solutions for a system of hybrid fractional differential equations involving fractional derivatives of the Caputo-Hadamard type with three-point hybrid boundary conditions. In addition to this, the “Hyres–Ulam†stability of the solutions for this type of equation is verified, and finally a numerical example was presented to support our theoretical results.

Suggested Citation

  • Meraa Arab & Muath Awadalla & Hamdi Gassara, 2022. "A Coupled System of Caputo–Hadamard Fractional Hybrid Differential Equations with Three-Point Boundary Conditions," Mathematical Problems in Engineering, Hindawi, vol. 2022, pages 1-12, July.
    • Handle: RePEc:hin:jnlmpe:1500577
    DOI: 10.1155/2022/1500577
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