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On Hybrid Caputo-Proportional Fractional Differential Inclusions in Banach Spaces

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We investigate the existence of solutions for a nonlinear fractional differential inclusion in a sense of hybrid Caputo-proportional fractional derivatives (HCPFDs) in Banach spaces. The main result is discussed by using the set-valued concern from the Mönch fixed-point theorem along with the Kuratowski measure of noncompactness. We present an example to demonstrate theoretical findings.

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Authors and Affiliations

  1. Department of Mathematics & Computer Science, Faculty of Science, Alexandria University, Alexandria, 21511, Egypt

    M. I. Abbas

  2. Department of Mathematics and Science, Prince Sultan University, Riyadh, 11586, Saudi Arabia

    J. Alzabut

  3. Department of Industrial Engineering, OSTIM Technical University, Ankara, 06374, Turkey

    J. Alzabut

  4. Department of Mathematics, KPR Institute of Engineering and Technology, Coimbatore, 641407, Tamil Nadu, India

    M. Subramanian

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  1. M. I. Abbas
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  2. J. Alzabut
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  3. M. Subramanian
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Correspondence to J. Alzabut.

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Published in Neliniini Kolyvannya, Vol. 25, No. 2-3, pp. 147–160, April–September, 2022.

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Abbas, M.I., Alzabut, J. & Subramanian, M. On Hybrid Caputo-Proportional Fractional Differential Inclusions in Banach Spaces. J Math Sci 274, 791–806 (2023). https://doi.org/10.1007/s10958-023-06643-3

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  • DOI: https://doi.org/10.1007/s10958-023-06643-3

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