Boundary value problems for multi-term fractional differential equations

By Varsha Daftardar-Gejji, Sachin Bhalekar. 2008

167 citations recorded by the source corpus.

Subfields: Mechanics of Materials, Modeling and Simulation, Numerical Analysis

View Paper: https://www.semanticscholar.org/paper/9c757bc74ae541d5705e85cb65bb6ccf46f7c6e6

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In Mechanics of Materials

In Modeling and Simulation

In Numerical Analysis

Citations in the corpus

Analytical solutions for the multi-term time–space Caputo–Riesz fractional advection–diffusion equations on a finite domain (2012, methodology): “Daftardar-Gejji and Bhalekar [4] considered a multi-term fractional diffusion-wave equation along with the homogeneous/nonhomogeneous boundary conditions and this equation has been solved using the method of separation of variables.”
A fast linearized finite difference method for the nonlinear multi-term time-fractional wave equation (2019, unknown): “The theoretical and numerical methods to the solution of linear multi-term timefractional equations were studied by many researchers [2, 3, 14, 15].”
BOUNDARY VALUE PROBLEMS FOR THE GENERALIZED TIME-FRACTIONAL DIFFUSION EQUATION OF DISTRIBUTED ORDER (2009, methodology): “In the recent paper [4], the case of the multi-term time-fractional diffusion-wave equation with the constant coefficients was considered.”
Initial-boundary-value problems for the generalized multi-term time-fractional diffusion equation (2011, unknown): “The case of the multi-term time-fractional diffusion-wave equation with the constant coefficients was recently considered in [7].”
Existence of solutions for fractional differential equations of order q∈(2,3] with anti-periodic boundary conditions (2010, background): “For more details and examples, see [1, 6, 8, 9, 12–20, 22] and the references therein.”
Existence of Solutions for Impulsive Anti-periodic Boundary Value Problems of Fractional Order (2011, unknown): “For examples and details, see [1-3, 5, 7, 10, 15-16, 18-19, 23-24, 26] and the references therein.”
Fractional boundary value problems with singularities in space variables (2012, unknown): “For examples and details, see [1–9], and references therein.”
General Fractional Calculus, Evolution Equations, and Renewal Processes (2011, background): “where ρ is a Borel measure on [0, 1]; see [1, 6, 11, 14, 15, 16, 17, 21, 28].”