A priori predictions for a weak solution to time-fractional nonlinear reaction-diffusion equations incorporating an integral condition

MaRDI QIDQ6657979

Ahmed Bourobta, Shawkat Alkhazaleh, Abdelouahab Benbrahim, Iqbal M. Batiha, Iqbal H. Jebril, Taki-Eddine Oussaeif

Publication date: 7 January 2025

Published in: Nonlinear Dynamics and Systems Theory (Search for Journal in Brave)

zbMATH Keywords

existenceuniquenessenergy inequalityfractional partial differential equation

Mathematics Subject Classification ID

Existence problems for PDEs: global existence, local existence, non-existence (35A01) Nonlinear modes (70K75) Fractional partial differential equations (35R11) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

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• Reaction-diffusion systems and nonlinear waves
• A priori estimates for weak solution for a time-fractional nonlinear reaction-diffusion equations with an integral condition
• Nonlinear differential equations with the Caputo fractional derivative in the space of continuously differentiable functions
• Existence and uniqueness of solutions to parabolic fractional differential equations with integral conditions
• A Space-Time Spectral Method for the Time Fractional Diffusion Equation
• New Trends in Nanotechnology and Fractional Calculus Applications
• Positive solutions of a boundary value problem for a nonlinear fractional differential equation
• Existence and Uniqueness of the Weak Solution of the Space-time Fractional Diffusion Equation and a Spectral Method Approximation
• Advances in Fractional Calculus

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