Maximum principle and its application to multi-index Hadamard fractional diffusion equation

DOI10.1186/S13661-019-01299-YOpenAlexW2991478888WikidataQ126641825 ScholiaQ126641825MaRDI QIDQ2108416

Ahmed A. El-Deeb, Zhanbing Bai, Guotao Wang, Xueyan Ren

Publication date: 19 December 2022

Published in: Boundary Value Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13661-019-01299-y

zbMATH Keywords

maximum principleHadamard fractional derivativeuniformly elliptic operatoruniqueness and continuous dependence

Mathematics Subject Classification ID

Miscellaneous topics in partial differential equations (35Rxx) Qualitative properties of solutions to partial differential equations (35Bxx) General theory for ordinary differential equations (34Axx)

Related Items (4)

Stability analysis for a class of implicit fractional differential equations involving Atangana-Baleanu fractional derivative ⋮ An upper-lower solution method for the eigenvalue problem of Hadamard-type singular fractional differential equation ⋮ Study of implicit delay fractional differential equations under anti-periodic boundary conditions ⋮ Iterative positive solutions to a coupled Hadamard-type fractional differential system on infinite domain with the multistrip and multipoint mixed boundary conditions

Cites Work

• Unnamed Item
• Maximum principles for multi-term space-time variable-order fractional diffusion equations and their applications
• Qualitative analysis for solutions of a certain more generalized two-dimensional fractional differential system with Hadamard derivative
• Maximum principle for the multi-term time-fractional diffusion equations with the Riemann-Liouville fractional derivatives
• Maximum principles for a time-space fractional diffusion equation
• Modeling of financial processes with a space-time fractional diffusion equation of varying order
• A study of mixed Hadamard and Riemann-Liouville fractional integro-differential inclusions via endpoint theory
• On Caputo-Hadamard type fractional impulsive hybrid systems with nonlinear fractional integral conditions
• Explicit iteration to Hadamard fractional integro-differential equations on infinite domain
• Nonlocal Hadamard fractional boundary value problem with Hadamard integral and discrete boundary conditions on a half-line
• Discrete Schrödinger equations in the nonperiodic and superlinear cases: homoclinic solutions
• Successive iterations and positive extremal solutions for a Hadamard type fractional integro-differential equations on infinite domain
• Stability analysis of nonlinear Hadamard fractional differential system
• Extremum principle for the Hadamard derivatives and its application to nonlinear fractional partial differential equations
• Maximum principle and numerical method for the multi-term time-space Riesz-Caputo fractional differential equations
• Maximum principle for the generalized time-fractional diffusion equation
• General time-fractional diffusion equation: some uniqueness and existence results for the initial-boundary-value problems
• Maximum principle for the fractional diffusion equations with the Riemann-Liouville fractional derivative and its applications
• Hadamard-Type Fractional Differential Equations, Inclusions and Inequalities
• On the strong maximum principle for parabolic differential equations
• On a Hadamard-type fractional turbulent flow model with deviating arguments in a porous medium

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