Distributional framework for solving fractional differential equations

Abstract

We analyze solvability of a special form of distributed order fractional differential equations within the space of tempered distributions supported by the positive half-line.

References in corpus (2)

• Some aspects of fractional diffusion equations of single and distributed order
• Semilinear ordinary differential equation coupled with distributed order fractional differential equation

Cited by in corpus (6)

• Distributed-order fractional wave equation on a finite domain. Stress relaxation in a rod
• Distributed order fractional constitutive stress-strain relation in wave propagation modeling
• Vibration Analysis of Geometrically Nonlinear and Fractional Viscoelastic Cantilever Beams
• Distributed-order time-fractional wave equations
• Anomalous Nonlinear Dynamics Behavior of Fractional Viscoelastic Structures
• Semilinear ordinary differential equation coupled with distributed order fractional differential equation