Similarity solutions of fractional parabolic boundary value problems with uncertainty

DOI10.1016/j.cnsns.2021.105926zbMath1471.35318OpenAlexW3169429675MaRDI QIDQ2045974

C. Vinothkumar, A. Deiveegan, P. Prakash, Juan. J. Nieto

Publication date: 16 August 2021

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cnsns.2021.105926

zbMATH Keywords

finite difference methodsimilarity solutionsimilarity transformationfractional order fuzzy parabolic equation

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Fuzzy partial differential equations (35R13)

Related Items (5)

Fuzzy fractional differential equations with the generalized Atangana-Baleanu fractional derivative ⋮ Fractional evolution equation with Cauchy data in \(L^p\) spaces ⋮ On the solution of Caputo fractional high-order three-point boundary value problem with applications to optimal control ⋮ Unnamed Item ⋮ Asymptotic radial solution of parabolic tempered fractional Laplacian problem

Uses Software

• Heat Conduction Toolbox
• Fractional Heat Conduction Toolbox

Cites Work

• Solution of linear differential equations with fuzzy boundary values
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• Fitted reproducing kernel Hilbert space method for the solutions of some certain classes of time-fractional partial differential equations subject to initial and Neumann boundary conditions
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• A reproducing kernel method for solving nonlocal fractional boundary value problems with uncertainty
• Embedding of level-continuous fuzzy sets on Banach spaces
• Schauder fixed-point theorem in semilinear spaces and its application to fractional differential equations with uncertainty
• Fuzzy approximate solutions of second-order fuzzy linear boundary value problems
• Similarity solutions of nonlinear third-order dispersive PDEs: the first critical exponent
• Fuzzy Arbitrary Order System
• FINITE DIFFERENCE METHODS FOR FRACTIONAL DIFFERENTIAL EQUATIONS
• Unnamed Item
• Unnamed Item

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