Existence of mild solutions for semilinear evolution equation using Hilfer fractional derivatives

DOI10.7153/FDC-2022-12-01OpenAlexW4285105802WikidataQ113998157 ScholiaQ113998157MaRDI QIDQ6041410

Swaroop Nandan Bora, Bandita Roy

Publication date: 30 May 2023

Published in: Fractional Differential Calculus (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.7153/fdc-2022-12-01

zbMATH Keywords

fixed point theoremsexistence of solutionfractional derivativeHilfer derivative

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Nonlinear differential equations in abstract spaces (34G20) Fixed-point theorems (47H10) Fractional ordinary differential equations (34A08)

Cites Work

• Existence of mild solution for evolution equation with Hilfer fractional derivative
• Existence and uniqueness for a problem involving hilfer fractional derivative
• Nonlocal initial value problems for differential equations with Hilfer fractional derivative
• Nonlocal Cauchy problem for abstract fractional semilinear evolution equations
• A Cauchy problem for some fractional abstract differential equation with non local conditions
• Semigroups of linear operators and applications to partial differential equations
• Theorems about the existence and uniqueness of solutions of a semilinear evolution nonlocal Cauchy problem
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• Theorem about the existence and uniqueness of a solution of a nonlocal abstract cauchy problem in a banach space
• Basic Theory of Fractional Differential Equations
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