Approximations of solutions to a retarded type fractional differential equation with a deviated argument

DOI10.1216/JIE-2014-26-2-215zbMath1300.34178OpenAlexW1965255971WikidataQ115240111 ScholiaQ115240111MaRDI QIDQ2510855

Dhirendra Bahuguna, Pradeep Kumar, Dwijendra Narain Pandey

Publication date: 4 August 2014

Published in: Journal of Integral Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.jiea/1405949663

zbMATH Keywords

analytic semigroupBanach fixed point theoremFaedo-Galerkin approximationdeviated argumentretarded type fractional differential equation

Mathematics Subject Classification ID

Functional-differential equations in abstract spaces (34K30) Applications of operator theory to differential and integral equations (47N20) Linear differential equations in abstract spaces (34G10) Functional-differential equations with fractional derivatives (34K37) Nonlinear integral equations (45G99)

Related Items (8)

Faedo-Galerkin approximate solutions of a neutral stochastic fractional differential equation with finite delay ⋮ Local and global existence and uniqueness of solution for abstract differential equations with state-dependent argument ⋮ Existence and approximation of solution to neutral fractional differential equation with nonlocal conditions ⋮ Faedo-Galerkin approximation of mild solutions of fractional functional differential equations ⋮ Approximation of solutions to stochastic neutral fractional integro-differential equation with nonlocal conditions ⋮ Faedo-Galerkin approximation of solution for a nonlocal neutral fractional differential equation with deviating argument ⋮ Existence and asymptotic behavior of solutions for degenerate nonlinear Kirchhoff strings with variable-exponent nonlinearities ⋮ On solutions to abstract Volterra integro-differential equations with iterated deviating arguments

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