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Solvability of an infinite system of fractional differential equations with p-Laplacian operator in a new tempered sequence space

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Abstract

In this article, an infinite system of three point boundary value problem of p-Laplacian operator is considered for the existence of solution in a new sequence space related to the tempered sequence space \(\ell _{p}^{\alpha },\) \(p\ge 1\), via the technique of the Hausdorff measure of noncompactness. To illustrate our new results in tempered sequence spaces, we provide a numerical example.

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Acknowledgements

This work was done when the first author (MM) visited Uşak University during May 06 to June 11, 2023 under the Project of TUBITAK. He is very much thankful to TUBITAK and Uşak University for providing the local hospitalities.

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Authors and Affiliations

  1. Department of Medical Research, China Medical University Hospital, China Medical University (Taiwan), Taichung, Taiwan

    Mohammad Mursaleen

  2. Department of Mathematics, Aligarh Muslim University, Aligarh, 202002, India

    Mohammad Mursaleen

  3. Department of Mathematics, Uşak University, 64000, Uşak, Turkey

    Ekrem Savaş

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  1. Mohammad Mursaleen
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Correspondence to Mohammad Mursaleen.

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Mursaleen, M., Savaş, E. Solvability of an infinite system of fractional differential equations with p-Laplacian operator in a new tempered sequence space. J. Pseudo-Differ. Oper. Appl. 14, 57 (2023). https://doi.org/10.1007/s11868-023-00552-4

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  • DOI: https://doi.org/10.1007/s11868-023-00552-4

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