Existence of local solutions for differential equations with arbitrary fractional order

DOI10.1007/S40065-015-0139-4zbMath1359.34011OpenAlexW2226938856WikidataQ59462543 ScholiaQ59462543MaRDI QIDQ508916

Mohammed M. Matar, Juan J. Trujillo

Publication date: 8 February 2017

Published in: Arabian Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40065-015-0139-4

zbMATH Keywords

contraction mapping principleSchaefer's fixed point theorem

Mathematics Subject Classification ID

Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Applications of operator theory to differential and integral equations (47N20) Fractional ordinary differential equations (34A08)

Related Items (5)

Investigation of the \(p\)-Laplacian nonperiodic nonlinear boundary value problem via generalized Caputo fractional derivatives ⋮ An analytical survey on the solutions of the generalized double-order \(\varphi\)-integrodifferential equation ⋮ Boundary value problems for Caputo fractional differential equations with nonlocal and fractional integral boundary conditions ⋮ Qualitative properties of solution for hybrid nonlinear fractional differential equations ⋮ Existence results and continuity dependence of solutions for fractional equations

Cites Work

• A note on phase synchronization in coupled chaotic fractional order systems
• On antiperiodic boundary value problems for higher-order fractional differential equations
• Optimal feedback control for semilinear fractional evolution equations in Banach spaces
• Optimal control of fractional diffusion equation
• Novel techniques in parameter estimation for fractional dynamical models arising from biological systems
• Existence of solutions for impulsive anti-periodic boundary value problems of fractional order
• Fractional calculus in viscoelasticity: an experimental study
• On fractional filtering versus conventional filtering in economics
• Equilibrium points, stability and numerical solutions of fractional-order predator-prey and rabies models
• Boundary value problems for differential equations with fractional order and nonlocal conditions
• A survey on existence results for boundary value problems of nonlinear fractional differential equations and inclusions
• Generalized variational problems and Euler-Lagrange equations
• A Cauchy problem for some fractional abstract differential equation with non local conditions
• Some recent advances in theory and simulation of fractional diffusion processes
• Fractional differential equations in electrochemistry
• The fractional diffusion model with an absorption term and modified Fick's law for non-local transport processes
• Existence and uniqueness for a nonlinear fractional differential equation
• Existence of integral and anti-periodic boundary valued problem of fractional order \(0<\alpha \leq 3\)
• Existence of solutions for nonlinear high-order fractional boundary value problem with integral boundary condition
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Existence of local solutions for differential equations with arbitrary fractional order