Study of Mainardi's fractional heat problem
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Publication:2178413
DOI10.1016/J.CAM.2020.112943zbMath1442.35522OpenAlexW3016409434MaRDI QIDQ2178413
Djalal Boucenna, Amar Chidouh, O. Saifia
Publication date: 11 May 2020
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cam.2020.112943
Fourier transformLaplace transformHyers-Ulam stabilityfixed point theoremfractional differential equationsMainardi function
Laplace transform (44A10) Fractional partial differential equations (35R11) Diffusive and convective heat and mass transfer, heat flow (80A19)
Related Items (2)
Ulam-Hyers-Rassias Mittag-Leffler stability for the Darboux problem for partial fractional differential equations ⋮ Ulam-Hyers-Rassias stability of stochastic functional differential equations via fixed point methods
Cites Work
- The \(M\)-Wright function in time-fractional diffusion processes: a tutorial survey
- Analytical solution of time fractional Cattaneo heat equation for finite slab under pulse heat flux
- Application of fractional differential equations to heat transfer in hybrid nanofluid: modeling and solution via integral transforms
- Existence of positive solution and Hyers-Ulam stability for a nonlinear singular-delay-fractional differential equation
- Hyers-Ulam stability and existence of solutions for Nigmatullin's fractional diffusion equation
- The existence and Hyers-Ulam stability of solution for an impulsive Riemann-Liouville fractional neutral functional stochastic differential equation with infinite delay of order \(1<\beta<2\)
- Fractional-order operators: boundary problems, heat equations
- Best constant in Hyers-Ulam stability of first-order homogeneous linear differential equations with a periodic coefficient
- Existence and Hyers-Ulam stability of random impulsive stochastic functional differential equations with finite delays
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