On criteria of existence for nonlinear Katugampola fractional differential equations with \(p\)-Laplacian operator. (English) Zbl 1513.34018
Summary: This paper is devoted to establishing vital criteria of existence and uniqueness for a class of nonlinear Katugampola fractional differential equations (KFDEs) with \(p\)-Laplacian operator subjecting to mixed boundary conditions. The reasoning is inspired by diverse classical fixed point theory, such as the Guo-Krasnosel’skii typefixed point principle and Banach contraction theorem. Additionally, several expressive examples are afforded to show the effectiveness of our theoretical results.
MSC:
| 34A08 | Fractional ordinary differential equations |
| 26A03 | Foundations: limits and generalizations, elementary topology of the line |
| 34B15 | Nonlinear boundary value problems for ordinary differential equations |
| 47N20 | Applications of operator theory to differential and integral equations |
Keywords:
Katugampola fractional calculus; fixed point theorems; existence and uniqueness; \(p\)-Laplacian operatorReferences:
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