On representation formulas for solutions of linear differential equations with Caputo fractional derivatives

DOI10.1515/fca-2020-0058zbMath1488.34036arXiv1908.08319OpenAlexW2969745544MaRDI QIDQ2209199

Mikhail Gomoyunov

Publication date: 28 October 2020

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

Full work available at URL: https://arxiv.org/abs/1908.08319

zbMATH Keywords

fundamental solution matrixrepresentation formulalinear fractional differential equation

Mathematics Subject Classification ID

Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Explicit solutions, first integrals of ordinary differential equations (34A05) Linear ordinary differential equations and systems (34A30) Fractional ordinary differential equations (34A08)

Related Items (11)

Some notes on moment partial differential equations. Application to fractional functional equations ⋮ Game-theoretical problems for fractional-order nonstationary systems ⋮ Controllability and observability of linear time-varying fractional systems ⋮ Multisummability of formal solutions for a family of generalized singularly perturbed moment differential equations ⋮ On the relationship between the Pontryagin maximum principle and the Hamilton-Jacobi-Bellman equation in optimal control problems for fractional-order systems ⋮ Sensitivity analysis of value functional of fractional optimal control problem with application to feedback construction of near optimal controls ⋮ Unnamed Item ⋮ Optimal control problems with a fixed terminal time in linear fractional-order systems ⋮ Summability of formal solutions for a family of generalized moment integro-differential equations ⋮ Optimality conditions of singular controls for systems with Caputo fractional derivatives ⋮ On differentiability of solutions of fractional differential equations with respect to initial data

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