On a multi‐point p$$ p $$‐Laplacian fractional differential equation with generalized fractional derivatives

In the current paper, we intend to check the existence aspects of solutions for a category of the multi‐point boundary value problem (BVP) involving a p$$ p $$‐Laplacian differential operator within the generalized fractional derivatives depending on another function. Based on two fixed point result...

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Bibliographic Details
Published in:Mathematical methods in the applied sciences 2023-05, Vol.46 (7), p.8390-8407
Main Authors: Rezapour, Shahram, Abbas, Mohamed I., Etemad, Sina, Minh Dien, Nguyen
Format: Article
Language:English
Subjects:
Boundary value problems
Derivatives
Differential equations
fixed point results
Fractional calculus
Mathematical analysis
multi‐point BVP
Operators (mathematics)
p‐Laplacian
the generalized fractional derivative
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Summary:In the current paper, we intend to check the existence aspects of solutions for a category of the multi‐point boundary value problem (BVP) involving a p$$ p $$‐Laplacian differential operator within the generalized fractional derivatives depending on another function. Based on two fixed point results attributed to Schaefer and Banach, the desired results are verified. Further, the continuity of solutions in terms of inputs (fractional orders, associated parameters, and appropriate function) is extensively discussed. A simulative example is prepared to demonstrate the applications of the obtained results.
ISSN:0170-4214
1099-1476
DOI:10.1002/mma.8301