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On a Boundary Value Problem of Hybrid Functional Differential Inclusion with Nonlocal Integral Condition

Author

Listed:
  • Ahmed M. A. El-Sayed

    (Faculty of Science, Alexandria University, Alexandria 21544, Egypt
    These authors contributed equally to this work.)

  • Wagdy G. El-Sayed

    (Faculty of Science, Alexandria University, Alexandria 21544, Egypt
    These authors contributed equally to this work.)

  • Somyya S. Amrajaa

    (Faculty of Science, Omar Al Mukhtar University, Al Bayda 991, Libya
    These authors contributed equally to this work.)

Abstract

In this work, we present a boundary value problem of hybrid functional differential inclusion with nonlocal condition. The boundary conditions of integral and infinite points will be deduced. The existence of solutions and its maximal and minimal will be proved. A sufficient condition for uniqueness of the solution is given. The continuous dependence of the unique solution will be studied.

Suggested Citation

  • Ahmed M. A. El-Sayed & Wagdy G. El-Sayed & Somyya S. Amrajaa, 2021. "On a Boundary Value Problem of Hybrid Functional Differential Inclusion with Nonlocal Integral Condition," Mathematics, MDPI, vol. 9(21), pages 1-16, October.
    • Handle: RePEc:gam:jmathe:v:9:y:2021:i:21:p:2667-:d:661666
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    References listed on IDEAS

    as
    1. El-Sayed, A.M.A. & Ahmed, Reda Gamal, 2020. "Solvability of a coupled system of functional integro-differential equations with infinite point and Riemann–Stieltjes integral conditions," Applied Mathematics and Computation, Elsevier, vol. 370(C).
    2. Mohamed A. E. Herzallah & Dumitru Baleanu, 2014. "On Fractional Order Hybrid Differential Equations," Abstract and Applied Analysis, Hindawi, vol. 2014, pages 1-7, March.
    Full references (including those not matched with items on IDEAS)

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