On Theoretical and Numerical Aspect of Fractional Differential Equations with Purely Integral Conditions

2021/02/03 by Brahimi, Saadoune, Merad, Ahcene, Kilicman, Adem
#34B10 #35D30 #35L10 #35L20 #35L99 #Analysis of PDEs (math.AP) #FOS: Mathematics #Numerical Analysis (math.NA)

paper · doi:10.48550/arxiv.2102.11167

Abstract

In this paper, we are interested in the study of a problem with fractional derivatives having boundary conditions of integral types. The problem represents a Caputo type advection-diffusion equation where the fractional order derivative with respect to time with 1

Related

• Boundary-value problem for fractional heat equation involving Caputo-Fabrizio derivative
• Operator theoretic approach to the Caputo derivative and the fractional diffusion equations
• On viscosity solutions of space-fractional diffusion equations of Caputo type
• Analytical solutions of moving boundary problems for the time-fractional diffusion equation
• Existence results for a class of Caputo type fractional differential equations with Riemann-Liouville fractional integrals and Caputo fractional derivatives in boundary conditions