Inverse problem for a multi-term fractional differential equation

DOI10.1515/FCA-2020-0040zbMath1488.65379OpenAlexW3042397742WikidataQ115236512 ScholiaQ115236512MaRDI QIDQ2209179

Yanyan Li

Publication date: 28 October 2020

Published in: Fractional Calculus \& Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/fca-2020-0040

zbMATH Keywords

inverse problemfractional derivativeFourier methodoperational calculusmultinomial Mittag-Leffler function

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Mittag-Leffler functions and generalizations (33E12) Convergence and absolute convergence of Fourier and trigonometric series (42A20) Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs (65M32) Numerical methods for inverse problems for boundary value problems involving PDEs (65N21) Inverse problems in thermodynamics and heat transfer (80A23) Fractional partial differential equations (35R11)

Related Items (8)

Initial boundary value problems for a multi-term time fractional diffusion equation with generalized fractional derivatives in time ⋮ Recovering source term and temperature distribution for nonlocal heat equation ⋮ Abstract fractional inverse source problem of order \(0<\alpha <1\) in a Banach space ⋮ A boundary problem for the time-fractional Hallaire-Luikov moisture transfer equation with Hilfer derivative ⋮ Completely monotone multinomial Mittag-Leffler type functions and diffusion equations with multiple time-derivatives ⋮ Inverse problems for diffusion equation with fractional Dzherbashian-Nersesian operator ⋮ An inverse source problem for anomalous diffusion equation with generalized fractional derivative in time ⋮ Inverse problems for a multi-term time fractional evolution equation with an involution

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