Nonlinear two-term time fractional diffusion-wave problem

DOI10.1016/J.NONRWA.2009.12.012zbMath1203.35289OpenAlexW1984200508MaRDI QIDQ708507

Rudolf Gorenflo, Mirjana Stojanovic

Publication date: 14 October 2010

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.nonrwa.2009.12.012

zbMATH Keywords

viscosity solutionsexistence-uniqueness theoremsnonlinear two-term time fractional diffusion-wave problemregularity of the solutions

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Viscosity solutions to PDEs (35D40) Fractional partial differential equations (35R11)

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Cites Work

• Unnamed Item
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• Fractional differential equations as alternative models to nonlinear differential equations
• Integral equations and initial value problems for nonlinear differential equations of fractional order
• Existence-uniqueness result for a nonlinear \(n\)-term fractional equation
• Monotone iterative method for initial value problem involving Riemann-Liouville fractional derivatives
• Existence of periodic solution for a nonlinear fractional differential equation
• An approach via fractional analysis to non-linearity induced by coarse-graining in space
• Viscosity solutions and applications. Lectures given at the 2nd session of the Centro Internazionale Matematico Estivo (CIME), Montecatini Terme, Italy, June 12-20, 1995
• Some new existence results for fractional differential inclusions with boundary conditions
• Controlled Markov processes and viscosity solutions
• The Two Forms of Fractional Relaxation of Distributed Order
• User’s guide to viscosity solutions of second order partial differential equations
• The fundamental solution of the space-time fractional diffusion equation
• A Calculus Approach to Hyperfunctions. II
• Fractional Calculus: Integral and Differential Equations of Fractional Order
• Sub-diffusion equations of fractional order and their fundamental solutions

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