Existence of solutions to some classes of partial fractional differential equations

DOI10.1016/J.NA.2009.04.015zbMath1196.34008OpenAlexW1998870620MaRDI QIDQ732560

Tocka Diagana

Publication date: 9 October 2009

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2009.04.015

zbMATH Keywords

Hille-Yosida operatorfractional derivativefractional differential equationheat-like equation

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)

Related Items (5)

Bounded mild solutions to fractional integro-differential equations in Banach spaces ⋮ Initial-value / nonlocal Cauchy problems for fractional differential equations involving \(\psi\)-Hilfer multivariable operators ⋮ Solvability of fractional dynamic systems utilizing measure of noncompactness ⋮ Weighted pseudo-almost periodic solutions of a class of semilinear fractional differential equations ⋮ Unnamed Item

Cites Work

• Unnamed Item
• Nonlocal Cauchy problem for abstract fractional semilinear evolution equations
• Basic theory of fractional differential equations
• Existence of the mild solution for fractional semilinear initial value problems
• Theory of fractional functional differential equations
• A Cauchy problem for some fractional abstract differential equation with non local conditions
• Analysis of fractional differential equations

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