Estimates for a general fractional relaxation equation and application to an inverse source problem

DOI10.1002/MMA.4868zbMath1406.35457arXiv1802.05464OpenAlexW3122167897MaRDI QIDQ4614494

Emilia Bazhlekova

Publication date: 31 January 2019

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1802.05464

zbMATH Keywords

Mittag-Leffler functioncompletely monotone functioninverse source problemsubordination principlegeneral fractional derivative

Mathematics Subject Classification ID

Integro-partial differential equations (45K05) Inverse problems for PDEs (35R30) Series solutions to PDEs (35C10) Fractional partial differential equations (35R11)

Related Items (6)

Solving a backward problem for a distributed-order time fractional diffusion equation by a new adjoint technique ⋮ Regularization of a backward problem for composite fractional relaxation equations ⋮ Elastic drifted Brownian motions and non-local boundary conditions ⋮ General fractional classical mechanics: action principle, Euler-Lagrange equations and Noether theorem ⋮ Identification of a space-dependent source term in a nonlocal problem for the general time-fractional diffusion equation ⋮ Inverse source problem for a distributed-order time fractional diffusion equation

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