On a Hybrid Class of $p$-Laplacian Initial Value Problems with Modified  Mittag-Leffler Kernel

Authors

  • Sowmiya Ramasamy Department of Mathematics, School of Sciences, Arts, Media \& Management, Karunya Institute of Technology and Sciences, Karunya Nagar, Coimbatore-641114, Tamil Nadu, India.
  • Kavitha Velusamy Department of Mathematics, School of Sciences, Arts, Media \& Management, Karunya Institute of Technology and Sciences, Karunya Nagar, Coimbatore-641114, Tamil Nadu, India.
  • Dumitru Baleanu Department of Computer Science and Mathematics, Labanese American University, Beirut, Lebanon.
  • Mallika Arjunan Mani Department of Mathematics, School of Arts, Sciences and Humanities, SASTRA Deemed to be University, Thanjavur-613401, Tamil Nadu, India.

DOI:

https://doi.org/10.29020/nybg.ejpam.v17i4.5455

Keywords:

Fractional-order, existence and uniqueness, Stability, Fixed poin theorem

Abstract

In this work, we establish key results on the existence theory for a category of initial value problems (IVPs) involving hybrid fractional integro-differential equations (HFIDEs) with a $p$-Laplacian operator, utilizing the modified Mittag-Leffler kernel. By employing Krasnoselskii and Banach fixed point theorems (FPTs), we determine the conditions required for the existence of solutions. Additionally, we examine the Hyers-Ulam (H-U) stability of the problem.   Lastly, we present an example to confirm our theoretical results.

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Published

2024-10-31

Issue

Vol. 17 No. 4: (October 2024)

Section

Nonlinear Analysis

License

Copyright (c) 2024 Sowmiya Ramasamy , Kavitha Velusamy, Dumitru Baleanu, Mallika Arjunan Mani

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How to Cite

On a Hybrid Class of $p$-Laplacian Initial Value Problems with Modified  Mittag-Leffler Kernel. (2024). European Journal of Pure and Applied Mathematics, 17(4), 4071-4092. https://doi.org/10.29020/nybg.ejpam.v17i4.5455