To study existence of at least three weak solutions to a system of over-determined Fredholm fractional integro-differential equations

DOI10.1016/J.CNSNS.2021.105892zbMath1470.45014OpenAlexW3160105860WikidataQ115358566 ScholiaQ115358566MaRDI QIDQ2038150

Elyas Shivanian

Publication date: 9 July 2021

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cnsns.2021.105892

zbMATH Keywords

weak solutioncritical point theoryvariational methodDirichlet conditionsystem of fractional partial integro-differential equations

Mathematics Subject Classification ID

Integro-partial differential equations (45K05) Fractional derivatives and integrals (26A33) Systems of nonlinear integral equations (45G15) Fredholm integral equations (45B05)

Related Items (2)

Error estimate and stability analysis on the study of a high-order nonlinear fractional differential equation with Caputo-derivative and integral boundary condition ⋮ Fractional Sobolev space on time scales and its application to a fractional boundary value problem on time scales

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 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
• Variational approach to impulsive differential equations
• Some critical point theorems and their applications to periodic solution for second order Hamiltonian systems
• Homoclinic solutions for a higher order difference equation with \(p\)-Laplacian
• Boundary value problems for differential equations with fractional order and nonlocal conditions
• Doubly resonant semilinear elliptic problems via nonsmooth critical point theory
• The nonlocal Cauchy problem for nonlinear fractional integrodifferential equations in Banach spaces
• 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
• An efficient method for the numerical solution of a class of nonlinear fractional Fredholm integro-differential equations
• Existence of solutions for fractional boundary value problem with nonlinear derivative dependence
• Spectral collocation method for linear fractional integro-differential equations
• Analytical Lie group approach for solving fractional integro-differential equations
• Positive solutions of a superlinear Kirchhoff type equation in \(\mathbb{R}^N\) \((N \geq 4)\)
• Existence and uniqueness results for a class of BVPs for nonlinear fractional differential equations
• A new analytic solution for buckling of doubly clamped nano-actuators with integro differential governing equation using Duan-Rach Adomian decomposition method
• Nonlocal integrodifferential boundary value problem for nonlinear fractional differential equations on an unbounded domain
• A variational approach for boundary value problems for impulsive fractional differential equations
• New study of weakly singular kernel fractional fourth-order partial integro-differential equations based on the optimum \(q\)-homotopic analysis method
• Fractional-order Bernoulli functions and their applications in solving fractional Fredholem-Volterra integro-differential equations
• Existence of solutions to a class of nonlinear second order two-point boundary value problems
• MODELING THE EFFECT OF VAN DER WAALS ATTRACTION ON THE INSTABILITY OF ELECTROSTATIC CANTILEVER AND DOUBLY-SUPPORTED NANO-BEAMS USING MODIFIED ADOMIAN METHOD
• A Theoretical Basis for the Application of Fractional Calculus to Viscoelasticity
• The restaurant at the end of the random walk: recent developments in the description of anomalous transport by fractional dynamics
• Variational approach for a p-Laplacian boundary value problem on time scales
• 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
• On the weak solutions of an overdetermined system of nonlinear fractional partial integro-differential equations
• Infinitely many solutions for perturbed impulsive fractional differential systems
• Existence of unique solution to switchedfractional differential equations with $p$-Laplacian operator

This page was built for publication: To study existence of at least three weak solutions to a system of over-determined Fredholm fractional integro-differential equations