Abstract
In this paper we analyze a linear system for the Poisson equation with a boundary condition comprising the fractional derivative in time and the right-hand sides depended on time. First, we prove existence and uniqueness of the classical solution to this problem, and provide the coercive estimates of the solution. Second, based on the obtained results we establish one-to-one solvability to a linear system of a general form in the H¨older spaces.
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© Diogenes Co., Sofia - frontmatter and editorial
Artikel in diesem Heft
- Contents
- Editorial. FCAA Related News, Events and Books (FCAA–Volume 18–4–2015)
- Multidimensional Generalized Erdélyi-Kober Operator and its Application to Solving Cauchy Problems for Differential Equations with Singular Coefficients
- A (⋆, ∗)-Based Minkowski’s Inequality for Sugeno Fractional Integral of Order α > 0
- Multiplicity of Solutions for Fractional Hamiltonian Systems with Liouville-Weyl Fractional Derivatives
- Synchronization of Systems with Fractional Environmental Noises on Finite Lattice
- Reaction-Advection-Diffusion Equations with Space Fractional Derivatives and Variable Coefficients on Infinite Domain
- Pseudo Almost Automorphic Solution of Semilinear Fractional Differential Equations with the Caputo Derivatives
- A Description of Derivation Operators with Respect to Convolution of Generalized Gel’Fond-Leont’Ev Integration
- Local Solvability of a Linear System with a Fractional Derivative in Time in a Boundary Condition
- Diffusion and Fokker-Planck-Smoluchowski Equations with Generalized Memory Kernel
- On Fully Mixed and Multidimensional Extensions of the Caputo and Riemann-Liouville Derivatives, Related Markov Processes and Fractional Differential Equations
- Some Remarks on the Fractional Cattaneo-Maxwell Equation for the Heat Propagation
- Fractional Pennes’ Bioheat Equation: Theoretical and Numerical Studies
Artikel in diesem Heft
- Contents
- Editorial. FCAA Related News, Events and Books (FCAA–Volume 18–4–2015)
- Multidimensional Generalized Erdélyi-Kober Operator and its Application to Solving Cauchy Problems for Differential Equations with Singular Coefficients
- A (⋆, ∗)-Based Minkowski’s Inequality for Sugeno Fractional Integral of Order α > 0
- Multiplicity of Solutions for Fractional Hamiltonian Systems with Liouville-Weyl Fractional Derivatives
- Synchronization of Systems with Fractional Environmental Noises on Finite Lattice
- Reaction-Advection-Diffusion Equations with Space Fractional Derivatives and Variable Coefficients on Infinite Domain
- Pseudo Almost Automorphic Solution of Semilinear Fractional Differential Equations with the Caputo Derivatives
- A Description of Derivation Operators with Respect to Convolution of Generalized Gel’Fond-Leont’Ev Integration
- Local Solvability of a Linear System with a Fractional Derivative in Time in a Boundary Condition
- Diffusion and Fokker-Planck-Smoluchowski Equations with Generalized Memory Kernel
- On Fully Mixed and Multidimensional Extensions of the Caputo and Riemann-Liouville Derivatives, Related Markov Processes and Fractional Differential Equations
- Some Remarks on the Fractional Cattaneo-Maxwell Equation for the Heat Propagation
- Fractional Pennes’ Bioheat Equation: Theoretical and Numerical Studies