On the kinetics of ψ-fractional differential equations.

Autor:	Ma, Weiyuan, Dai, Changping, Li, Xin, Bao, Xionggai
Předmět:	DIFFERENTIAL equations FRACTIONAL calculus KERNEL functions FRACTIONAL differential equations COMPUTER simulation
Zdroj:	Fractional Calculus & Applied Analysis; Dec2023, Vol. 26 Issue 6, p2774-2804, 31p
Abstrakt:	This article studies the kinetics of ψ -fractional differential equations (ψ -FDEs). Above all, some new fractional inequalities are presented, which are the cornerstone of the later stability analysis. The continuous dependence of the solutions to the ψ -FDEs on some particular parameters is established. Then, the comparison theorems for ψ -fractional systems are given. What is more, based on the properties of ψ -fractional calculus and the generalized Laplace transform, some sufficient conditions about the stability of fractional systems involving ψ -Riemann-Liouville or ψ -Caputo derivatives are attained. Last but not least, numerical simulations with some new kernel functions are given to validate the stability results. [ABSTRACT FROM AUTHOR]
Databáze:	Complementary Index
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