Terminal value problems of non-homogeneous fractional linear systems with general memory kernels

DOI10.1007/s44198-022-00085-2OpenAlexW4302283701MaRDI QIDQ2699900

Guo-Cheng Wu, Qin Fan, Babak Shiri, Hua-Rong Feng

Publication date: 19 April 2023

Published in: Journal of Nonlinear Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s44198-022-00085-2

zbMATH Keywords

Picard's methodterminal value problemgeneral fractional calculus

Mathematics Subject Classification ID

Theoretical approximation of solutions to ordinary differential equations (34A45) Fractional derivatives and integrals (26A33) Fredholm integral equations (45B05) Volterra integral equations (45D05) Theoretical approximation of solutions to integral equations (45L05) Fractional ordinary differential equations (34A08)

Related Items (4)

A hybrid technique based on Lucas polynomials for solving fractional diffusion partial differential equation ⋮ Right fractional calculus to inverse-time chaotic maps and asymptotic stability analysis ⋮ Bifurcation, phase portrait and traveling wave solution of time-fractional thin-film ferroelectric material equation with beta fractional derivative ⋮ Analysis of fractional integro causal evolution impulsive systems on time scales

Cites Work

• Unnamed Item
• Increasing the efficiency of shooting methods for terminal value problems of fractional order
• New approach to a generalized fractional integral
• Terminal value problems for the nonlinear systems of fractional differential equations
• A note on the well-posedness of terminal value problems for fractional differential equations
• Generation of nonlocal fractional dynamical systems by fractional differential equations
• An inverse problem approach to determine possible memory length of fractional differential equations
• A note on function space and boundedness of the general fractional integral in continuous time random walk
• Generalized fractional derivatives and Laplace transform
• Intermediate value problems for fractional differential equations
• An extension of the well-posedness concept for fractional differential equations of Caputo’s type
• Fractional model and solution for the Black‐Scholes equation
• Mittag-Leffler Functions, Related Topics and Applications

This page was built for publication: Terminal value problems of non-homogeneous fractional linear systems with general memory kernels