On the separation of solutions to fractional differential equations of order \(\alpha \in (1,2)\)

DOI10.1016/J.APNUM.2024.05.020zbMATH Open1547.34005MaRDI QIDQ6577607

Safoura Hashemishahraki, Renu Chaudhary, Kai Diethelm

Publication date: 24 July 2024

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

zbMATH Keywords

initial conditionCaputo derivativefractional differential equationseparation of solutionszeros of two-parameter Mittag-Leffler functions

Mathematics Subject Classification ID

Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Mittag-Leffler functions and generalizations (33E12) Fractional ordinary differential equations (34A08)

Cites Work

• Title not available (Why is that?)
• On the application of sequential and fixed-point methods to fractional differential equations of arbitrary order
• Basic theory of fractional differential equations
• The analysis of fractional differential equations. An application-oriented exposition using differential operators of Caputo type
• Generation of nonlocal fractional dynamical systems by fractional differential equations
• Upper and lower estimates for the separation of solutions to fractional differential equations
• An alpha-beta phase diagram representation of the zeros and properties of the Mittag-Leffler function
• Mittag-Leffler Functions, Related Topics and Applications
• Numerical Evaluation of Two and Three Parameter Mittag-Leffler Functions
• Analysis of fractional differential equations
• A new approach to shooting methods for terminal value problems of fractional differential equations

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