Existence and uniqueness of solution for a nonlinear fractional problem involving the distributional Riesz derivative
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Publication:6067283
DOI10.1002/mma.8165OpenAlexW4212949687MaRDI QIDQ6067283
Esma Abada, Hakim Lakhal, Messaoud Maouni
Publication date: 16 November 2023
Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1002/mma.8165
Existence problems for PDEs: global existence, local existence, non-existence (35A01) Fractional partial differential equations (35R11) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Topological and monotonicity methods applied to PDEs (35A16)
Cites Work
- Unnamed Item
- Unnamed Item
- Fractional derivatives for physicists and engineers. Volume I: Background and theory. Volume II: Applications
- On a new class of fractional partial differential equations
- Fractals and fractional calculus in continuum mechanics
- Fractional elliptic quasi-variational inequalities: theory and numerics
- On a new class of fractional partial differential equations. II
- A review of definitions for fractional derivatives and integral
- Fractional vector analysis based on invariance requirements (critique of coordinate approaches)
- A distributional approach to fractional Sobolev spaces and fractional variation: existence of blow-up
- On nonlocal variational and quasi-variational inequalities with fractional gradient
- Fractional calculus in image processing: a review
- Obstacle Problems Involving the Fractional Laplacian
- Asymptotic behaviours of solution to Caputo–Hadamard fractional partial differential equation with fractional Laplacian
- Properties of the Katugampola fractional derivative with potential application in quantum mechanics
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