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On the existence of solutions for fractional differential inclusions with sum and integral boundary conditions

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  • Ntouyas, Sotiris K.
  • Etemad, Sina

Abstract

In this paper, by using the endpoint result for multifunctions, we investigate the existence of solutions for a boundary value problem for fractional differential inclusions with sum and integral boundary conditions. Finally, an example is also given to illustrate the validity of our main result.

Suggested Citation

  • Ntouyas, Sotiris K. & Etemad, Sina, 2015. "On the existence of solutions for fractional differential inclusions with sum and integral boundary conditions," Applied Mathematics and Computation, Elsevier, vol. 266(C), pages 235-243.
    • Handle: RePEc:eee:apmaco:v:266:y:2015:i:c:p:235-243
    DOI: 10.1016/j.amc.2015.05.036
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    Cited by:

    1. Wuyang Wang & Khansa Hina Khalid & Akbar Zada & Sana Ben Moussa & Jun Ye, 2023. "q -Fractional Langevin Differential Equation with q -Fractional Integral Conditions," Mathematics, MDPI, vol. 11(9), pages 1-27, May.
    2. Suphawat Asawasamrit & Woraphak Nithiarayaphaks & Sotiris K. Ntouyas & Jessada Tariboon, 2019. "Existence and Stability Analysis for Fractional Differential Equations with Mixed Nonlocal Conditions," Mathematics, MDPI, vol. 7(2), pages 1-11, January.
    3. Liu, Xiping & Jia, Mei, 2019. "Solvability and numerical simulations for BVPs of fractional coupled systems involving left and right fractional derivatives," Applied Mathematics and Computation, Elsevier, vol. 353(C), pages 230-242.
    4. Sina Etemad & Sotiris K. Ntouyas & Bashir Ahmad & Shahram Rezapour & Jessada Tariboon, 2022. "Sequential Fractional Hybrid Inclusions: A Theoretical Study via Dhage’s Technique and Special Contractions," Mathematics, MDPI, vol. 10(12), pages 1-27, June.
    5. Sina Etemad & Sotiris K. Ntouyas & Bashir Ahmad, 2019. "Existence Theory for a Fractional q -Integro-Difference Equation with q -Integral Boundary Conditions of Different Orders," Mathematics, MDPI, vol. 7(8), pages 1-15, July.
    6. Bashir Ahmad & Ymnah Alruwaily & Ahmed Alsaedi & Sotiris K. Ntouyas, 2019. "Existence and Stability Results for a Fractional Order Differential Equation with Non-Conjugate Riemann-Stieltjes Integro-Multipoint Boundary Conditions," Mathematics, MDPI, vol. 7(3), pages 1-14, March.

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