Existence of at Least Three Distinct Weak Solutions for a Class of Nonlinear System of Fractional Differential Equations

DOI10.1080/01630563.2020.1741614zbMath1470.34028OpenAlexW3013411839MaRDI QIDQ5119505

Elyas Shivanian

Publication date: 28 August 2020

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/01630563.2020.1741614

zbMATH Keywords

weak solutioncritical point theoryvariational methodDirichlet conditionsystem of fractional differential equations

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Applications of variational problems in infinite-dimensional spaces to the sciences (58E50) Fractional ordinary differential equations (34A08)

Related Items (2)

A unique weak solution for the fractional integro-differential Schrödinger equations ⋮ On existence of multiplicity of weak solutions for a new class of nonlinear fractional boundary value systems via variational approach

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Multiple solutions for a coupled system of nonlinear fractional differential equations via variational methods
• Existence of solutions for a fractional boundary value problem via the mountain pass method and an iterative technique
• Existence results for nano boundary layer flows with nonlinear Navier boundary condition
• Existence and multiplicity of solutions for some fractional boundary value problem via critical point theory
• Fractional derivatives for physicists and engineers. Volume I: Background and theory. Volume II: Applications
• Recent history of fractional calculus
• On the existence of multiple solutions of a class of third-order nonlinear two-point boundary value problems
• Variational approach to impulsive differential equations
• Some critical point theorems and their applications to periodic solution for second order Hamiltonian systems
• Boundary value problems for differential equations with fractional order and nonlocal conditions
• Doubly resonant semilinear elliptic problems via nonsmooth critical point theory
• A survey on existence results for boundary value problems of nonlinear fractional differential equations and inclusions
• Positive solutions to singular boundary value problem for nonlinear fractional differential equation
• Critical point theory and Hamiltonian systems
• The fractional calculus. Theory and applications of differentiation and integration to arbitrary order
• Existence of solutions for fractional boundary value problem with nonlinear derivative dependence
• Weak solutions to a system of nonlinear fractional boundary value problems via variational form
• Existence of solutions to a class of nonlinear second order two-point boundary value problems
• Predictor homotopy analysis method (PHAM) for nano boundary layer flows with nonlinear Navier boundary condition: Existence of four solutions
• Existence and Uniqueness of Solutions for a Class of Singular Nonlinear Two-Point Boundary Value Problems with Sign-Changing Nonlinear Terms
• A Theoretical Basis for the Application of Fractional Calculus to Viscoelasticity
• Existence of multiple solutions for a perturbed discrete anisotropic equation
• The restaurant at the end of the random walk: recent developments in the description of anomalous transport by fractional dynamics
• EXISTENCE RESULTS FOR FRACTIONAL BOUNDARY VALUE PROBLEM VIA CRITICAL POINT THEORY
• On the structure of the critical set of non-differentiable functions with a weak compactness condition
• Infinitely many solutions for perturbed impulsive fractional differential systems

This page was built for publication: Existence of at Least Three Distinct Weak Solutions for a Class of Nonlinear System of Fractional Differential Equations