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Existence, Uniqueness and Ulam’s Stability of Solutions for a Coupled System of Fractional Differential Equations with Integral Boundary Conditions

Author

Listed:
  • Dimplekumar Chalishajar

    (Department of Mathematics and Computer Science, Mallory Hall, Virginia Military Institute, Lexington, VA 24450, USA)

  • Avadhesh Kumar

    (School of Basic Sciences, Indian Institute of Technology Mandi, Kamand 175 005, H.P., India)

Abstract

In this paper, the existence and uniqueness of the solutions to a fractional order nonlinear coupled system with integral boundary conditions is investigated. Furthermore, Ulam’s type stability of the proposed coupled system is studied. Banach’s fixed point theorem is used to obtain the existence and uniqueness of the solutions. Finally, an example is provided to illustrate the analytical findings.

Suggested Citation

  • Dimplekumar Chalishajar & Avadhesh Kumar, 2018. "Existence, Uniqueness and Ulam’s Stability of Solutions for a Coupled System of Fractional Differential Equations with Integral Boundary Conditions," Mathematics, MDPI, vol. 6(6), pages 1-12, June.
    • Handle: RePEc:gam:jmathe:v:6:y:2018:i:6:p:96-:d:151251
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