Uniqueness of solutions for a ψ-Hilfer fractional integral boundary value problem with the p-Laplacian operator

• Autorzy: Alsaedi Ahmed , Alghanmi Madeaha , Ahmad Bashir , Alharbi Boshra

Identyfikatory

DOI

10.1515/dema-2022-0195

• Języki publikacji: EN

Abstrakty

EN

In this article, we discuss the existence of a unique solution to a ψ-Hilfer fractional differential equation involving the p-Laplacian operator subject to nonlocal ψ-Riemann-Liouville fractional integral boundary conditions. Banach’s fixed point theorem is the main tool of our study. Examples are given for illustrating the obtained results.

Słowa kluczowe

EN

Hilfer fractional derivative; p-Laplacian operator; existence; fixed point

PL

pochodna ułamkowa Hilfera; istnienie; punkt stały

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2023
• Tom: Vol. 56, nr 1
• Strony: art. no. 20220195
• Opis fizyczny: Bibliogr. 33 poz.

Twórcy

autor

Alsaedi Ahmed

• Department of Mathematics, Nonlinear Analysis and Applied Mathematics (NAAM)-Research Group, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia

autor

Alghanmi Madeaha

• Department of Mathematics, College of Sciences & Arts, King Abdulaziz University, Rabigh 21911, Saudi Arabia

autor

Ahmad Bashir

• Department of Mathematics, Nonlinear Analysis and Applied Mathematics (NAAM)- Research Group, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia

autor

Alharbi Boshra

• Department of Mathematics, Nonlinear Analysis and Applied Mathematics (NAAM)-Research Group, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia

Bibliografia

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Uwagi

Opracowanie rekordu ze środków MNiSW, umowa nr POPUL/SP/0154/2024/02 w ramach programu "Społeczna odpowiedzialność nauki II" - moduł: Popularyzacja nauki (2025).