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Boundary Value Problems for Hybrid Caputo Fractional Differential Equations

Author

Listed:
  • Zidane Baitiche

    (Mathematics and Applied Sciences Laboratory, Ghardaia University, Ghardaia 47000, Algeria)

  • Kaddour Guerbati

    (Mathematics and Applied Sciences Laboratory, Ghardaia University, Ghardaia 47000, Algeria)

  • Mouffak Benchohra

    (Laboratory of Mathematics, Djillali Liabes University of Sidi Bel-Abbes, Sidi Bel-Abbes 22000, Algeria
    Department of Mathematics, College of Science, King Saud University, P.O. Box 2455, Riyadh 11451, Saudi Arabia)

  • Yong Zhou

    (Faculty of Mathematics and Computational Science, Xiangtan University, Xiangtan 411105, Hunan, China
    Nonlinear Analysis and Applied Mathematics (NAAM) Research Group, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi Arabia)

Abstract

In this paper, we discuss the existence of solutions for a hybrid boundary value problem of Caputo fractional differential equations. The main tool used in our study is associated with the technique of measures of noncompactness. As an application, we give an example to illustrate our results.

Suggested Citation

  • Zidane Baitiche & Kaddour Guerbati & Mouffak Benchohra & Yong Zhou, 2019. "Boundary Value Problems for Hybrid Caputo Fractional Differential Equations," Mathematics, MDPI, vol. 7(3), pages 1-11, March.
    • Handle: RePEc:gam:jmathe:v:7:y:2019:i:3:p:282-:d:215367
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    References listed on IDEAS

    as
    1. Zakir Ullah & Amjad Ali & Rahmat Ali Khan & Muhammad Iqbal, 2018. "Existence Results To A Class Of Hybrid Fractional Differential Equations," Matrix Science Mathematic (MSMK), Zibeline International Publishing, vol. 2(1), pages 13-17, January.
    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.
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    Cited by:

    1. Ahmed M. A. El-Sayed & Sheren A. Abd El-Salam & Hind H. G. Hashem, 2022. "Global Existence for an Implicit Hybrid Differential Equation of Arbitrary Orders with a Delay," Mathematics, MDPI, vol. 10(6), pages 1-13, March.
    2. Vidushi Gupta & Arshad Ali & Kamal Shah & Syed Abbas, 2021. "On stability analysis of hybrid fractional boundary value problem," Indian Journal of Pure and Applied Mathematics, Springer, vol. 52(1), pages 27-38, March.
    3. Devi, Amita & Kumar, Anoop, 2022. "Hyers–Ulam stability and existence of solution for hybrid fractional differential equation with p-Laplacian operator," Chaos, Solitons & Fractals, Elsevier, vol. 156(C).
    4. Yingkang Xie & Zhen Wang & Bo Meng, 2019. "Stability and Bifurcation of a Delayed Time-Fractional Order Business Cycle Model with a General Liquidity Preference Function and Investment Function," Mathematics, MDPI, vol. 7(9), pages 1-10, September.
    5. Ahmed M. A. El-Sayed & Sheren A. Abd El-Salam & Hind H. G. Hashem, 2022. "Development on a Fractional Hybrid Differential Inclusion with a Nonlinear Nonlocal Fractional-Order Integral Inclusion," Mathematics, MDPI, vol. 10(21), pages 1-14, November.

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