Existence theory for an arbitrary order fractional differential equation with deviating argument

DOI10.1007/s10440-012-9679-1zbMath1248.34118OpenAlexW2078640409WikidataQ115384828 ScholiaQ115384828MaRDI QIDQ411476

You-Hui Su, Zhao-sheng Feng

Publication date: 4 April 2012

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10440-012-9679-1

zbMATH Keywords

deviating argumentpositive solutionfixed point theoremsfractional differential equationRiemann-Liouville integral

Mathematics Subject Classification ID

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)

Related Items

Mixed \(H_{\infty}\) and passive control for fractional-order nonlinear systems via LMI approach ⋮ Boundary value problems with four orders of Riemann-Liouville fractional derivatives ⋮ Oscillation of impulsive conformable fractional differential equations ⋮ System of fractional boundary value problem with \(p\)-Laplacian and advanced arguments ⋮ Stochastic dynamics of 2D fractional Ginzburg-Landau equation with multiplicative noise ⋮ Existence criteria for positive solutions of \(p\)-Laplacian fractional differential equations with derivative terms ⋮ Unnamed Item ⋮ Monotone iterative methods of positive solutions for fractional differential equations involving derivatives ⋮ ASYMPTOTIC DYNAMICS OF 2D FRACTIONAL COMPLEX GINZBURG–LANDAU EQUATION ⋮ Analysis and discretization of a variable-order fractional wave equation ⋮ Periodic boundary value problems for impulsive conformable fractional integro-differential equations ⋮ Existence of positive solutions to a coupled system of fractional differential equations ⋮ Unnamed Item

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Positive solutions to the singular \(p\)-Laplacian BVPs with sign-changing nonlinearities and higher-order derivatives in Banach spaces on time scales
• Boundary value problems for systems of nonlinear integro-differential equations with deviating arguments
• Positive solutions to \(p\)-Laplacian multi-point BVPs on time scales
• Positive solutions for fourth-order differential equations with deviating arguments and integral boundary conditions
• Existence of a positive solution to a class of fractional differential equations
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• Three positive fixed points of nonlinear operators on ordered Banach spaces
• Oscillation of first-order impulsive differential equations with advanced argument
• Multiple positive pseudo-symmetric solutions of \(p\)-Laplacian dynamic equations on time scales
• Existence of three positive solutions for quasi-linear boundary value problem
• Differential equations of fractional order:methods results and problem —I
• Positive solutions of a boundary value problem for a nonlinear fractional differential equation
• Advances in Fractional Calculus
• Positive solutions for boundary value problem of nonlinear fractional differential equation