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      On p–Laplacian boundary value problems involving Caputo–Katugampula fractional derivatives

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          Abstract

          In this paper, we study the existence and uniqueness of solutions for a p–Laplacian boundary value problem defined by semilinear fractional system that involves Caputo–Katugampola fractional derivatives. Our main results rely on the implementation of the Banach and Schauder fixed point theorems. An example is introduced to expose the applicability of the theoretical findings.

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          Most cited references31

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          Preface

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            On the generalized fractional derivatives and their Caputo modification

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              Generalized fractional derivatives generated by a class of local proportional derivatives

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                Author and article information

                Contributors
                (View ORCID Profile)
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                Journal
                Mathematical Methods in the Applied Sciences
                Math Methods in App Sciences
                Wiley
                0170-4214
                1099-1476
                September 15 2024
                May 28 2020
                September 15 2024
                : 47
                : 13
                : 10799-10816
                Affiliations
                [1 ] Department of Mathematics Al‐Azhar University‐Gaza Gaza City State of Palestine
                [2 ] Department of Mathematics and General Sciences Prince Sultan University Riyadh 11586 Saudi Arabia
                Article
                10.1002/mma.6534
                c8e214a3-7906-4c99-a89d-6c900cddd378
                © 2024

                http://onlinelibrary.wiley.com/termsAndConditions#vor

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