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Solutions of Fractional Differential Type Equations by Fixed Point Techniques for Multivalued Contractions

Author

Listed:
  • Hasanen A. Hammad
  • Hassen Aydi
  • Manuel De la Sen
  • Atila Bueno

Abstract

This paper involves extended b−metric versions of a fractional differential equation, a system of fractional differential equations and two-dimensional (2D) linear Fredholm integral equations. By various given hypotheses, exciting results are established in the setting of an extended b−metric space. Thereafter, by making consequent use of the fixed point technique, short and simple proofs are obtained for solutions of a fractional differential equation, a system of fractional differential equations and a two-dimensional linear Fredholm integral equation.

Suggested Citation

  • Hasanen A. Hammad & Hassen Aydi & Manuel De la Sen & Atila Bueno, 2021. "Solutions of Fractional Differential Type Equations by Fixed Point Techniques for Multivalued Contractions," Complexity, Hindawi, vol. 2021, pages 1-13, February.
    • Handle: RePEc:hin:complx:5730853
    DOI: 10.1155/2021/5730853
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    Cited by:

    1. Hasanen A. Hammad & Praveen Agarwal & Juan L. G. Guirao, 2021. "Applications to Boundary Value Problems and Homotopy Theory via Tripled Fixed Point Techniques in Partially Metric Spaces," Mathematics, MDPI, vol. 9(16), pages 1-22, August.
    2. Hasanen A. Hammad & Mohra Zayed, 2022. "New Generalized Contractions by Employing Two Control Functions and Coupled Fixed-Point Theorems with Applications," Mathematics, MDPI, vol. 10(17), pages 1-18, September.

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