Faedo-Galerkin approximations to fractional integro-differential equation of order \(\alpha\in(1,2]\) with deviated argument

DOI10.4310/DPDE.2016.v13.n4.a4zbMath1360.34164WikidataQ115203979 ScholiaQ115203979MaRDI QIDQ509294

Publication date: 9 February 2017

Published in: Dynamics of Partial Differential Equations (Search for Journal in Brave)

zbMATH Keywords

Banach fixed point theorem Faedo-Galerkin approximation \(\alpha\)-order cosine family fractional integro-differential equation with deviated argument

Mathematics Subject Classification ID

Functional-differential equations in abstract spaces (34K30) Applications of operator theory to differential and integral equations (47N20) Theoretical approximation of solutions to functional-differential equations (34K07) Functional-differential equations with fractional derivatives (34K37)

Related Items (6)

Approximation of solutions to fractional stochastic integro-differential equations of order α ∈ (1,2] ⋮ Approximate solutions for neutral stochastic fractional differential equations ⋮ On the Faedo-Galerkin method for non-autonomous nonlinear differential systems ⋮ Numerical solution of variable-order fractional integro-partial differential equations via sinc collocation method based on single and double exponential transformations ⋮ Unnamed Item ⋮ An approximate solution to a class of impulsive fractional differential equations in a reflexive Banach space

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