Positive solutions to mixed fractional p-Laplacian boundary value problems
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Abstract
In this paper, we discuss the existence and uniqueness of a positive solution for a p-Laplacian differential equation containing left and right Caputo derivatives. By the help of the Guo–Krasnoselskii theorem, we prove the existence of at least one positive solution. The existence of a unique positive solution is established under the assumption that the corresponding operator is α-concave and increasing. Numerical examples are given to check the obtained results.
Funding statement: The first author was supported by Algerian funds within PRFU project C00L03UN230120180002.
Acknowledgements
The authors are grateful to the anonymous referees for their valuable comments and suggestions, which helped to improve the quality of the paper.
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Articles in the same Issue
- Frontmatter
- Heaviside function as an activation function
- Krylov solvability under perturbations of abstract inverse linear problems
- Existence of solutions for a three-point Hadamard fractional resonant boundary value problem
- Positive solutions to mixed fractional p-Laplacian boundary value problems
- Maximum number of limit cycles for generalized Kukles differential system
- Stabilization of a 1-D transmission problem for the Rayleigh beam and string with localized frictional damping
- Certain multiplier results on Bp spaces
- Remarks on the Belitskii–Lyubich and discrete Markus–Yamabe conjectures
- On deferred statistical convergence of complex uncertain sequences
- Local existence and uniqueness of regular solutions to a Landau–Lifshitz–Bloch equation with applied current
- Converse Ohlin’s lemma for convex and strongly convex functions
- Approximate controllability results in α-norm for some partial functional integrodifferential equations with nonlocal initial conditions in Banach spaces
- Direct proofs of intrinsic properties of prox-regular sets in Hilbert spaces
- On the continuity properties of the Lp balls
- On L 𝔮 convergence of the Hamiltonian Monte Carlo
- Radii of starlikeness and convexity of generalized k-Bessel functions
- An iterative technique for solving split equality monotone variational inclusion and fixed point problems
