Nonlocal initial boundary value problem for a fractional integrodifferential equation in a Banach space
DOI10.1216/JIE-2012-24-2-183zbMath1253.34072MaRDI QIDQ452485
P. Karthikeyan, Annamalai Anguraj
Publication date: 21 September 2012
Published in: Journal of Integral Equations and Applications (Search for Journal in Brave)
Full work available at URL: https://projecteuclid.org/euclid.jiea/1340369461
contraction mapping principleexistence of solutionfractional integro differential equationKrasnosel'skii theorem
Functional-differential equations in abstract spaces (34K30) Applications of operator theory to differential and integral equations (47N20) Boundary value problems for functional-differential equations (34K10) Functional-differential equations with fractional derivatives (34K37)
Cites Work
- Existence results for semilinear differential equations with nonlocal and impulsive conditions
- Fractional differential equations as alternative models to nonlinear differential equations
- Basic theory of fractional differential equations
- Existence of the mild solution for fractional semilinear initial value problems
- Solutions to fractional differential equations with nonlocal initial condition in Banach spaces
- A Cauchy problem for some fractional abstract differential equation with non local conditions
- Existence results for nonlinear boundary value problems of fractional integrodifferential equations with integral boundary conditions
- Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
- Nonlinear differential equations with nonlocal conditions in Banach spaces
- Existence of \(S\)-asymptotically \(\omega \)-periodic solutions for fractional order functional integro-differential equations with infinite delay
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