The existence theory of solution in Sobolev space for fractional differential equations

DOI10.1016/J.AML.2023.108896MaRDI QIDQ6140996

Ying Sheng, Tie Zhang

Publication date: 2 January 2024

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

zbMATH Keywords

existence and uniquenessfractional differential equationsolution in Sobolev space

Mathematics Subject Classification ID

Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Nonlinear differential equations in abstract spaces (34G20) Fractional ordinary differential equations (34A08)

Cites Work

• Monotone iterative method for initial value problem involving Riemann-Liouville fractional derivatives
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• Basic Theory of Fractional Differential Equations
• Elliptic Partial Differential Equations of Second Order
• Maximal solutions to fractional differential equations
• Some analysis on a fractional differential equation with a right-hand side which has a discontinuity at zero
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