An existence result for an infinite system of implicit fractional integral equations via generalized Darbo's fixed point theorem

DOI10.1007/s40314-021-01537-zzbMath1476.45003OpenAlexW3163281738MaRDI QIDQ2244958

Yanyan Li

Publication date: 12 November 2021

Published in: Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40314-021-01537-z

zbMATH Keywords

Darbo's fixed point theoremmeasure of noncompactness (MNC)implicit fractional integral equation (IFIE)

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Existence of solutions of dynamical problems in solid mechanics (74H20) Singular nonlinear integral equations (45G05)

Related Items

Results on approximate controllability of Sobolev-type fractional neutral differential inclusions of Clarke subdifferential type, On solution of generalized proportional fractional integral via a new fixed point theorem, A note on approximate controllability for nonlocal fractional evolution stochastic integrodifferential inclusions of order \(r\in(1,2)\) with delay, Solvability of implicit fractional order integral equation in \(\ell_p\) (\(1 \leq p < \infty\)) space via generalized Darbo's fixed point theorem, A fixed point result via new condensing operator and its application to a system of generalized proportional fractional integral equations, Optimal control for Hilfer fractional neutral integrodifferential evolution equations with infinite delay, Applying periodic and anti-periodic boundary conditions in existence results of fractional differential equations via nonlinear contractive mappings, Existence of Urysohn and Atangana-Baleanu fractional integral inclusion systems solutions via common fixed point of multi-valued operators, Unnamed Item, Quasilinear coupled system in the frame of nonsingular ABC-derivatives with \(p\)-Laplacian operator at resonance, Application of Petryshyn's fixed point theorem of existence result for non-linear 2D Volterra functional integral equations

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Applications of measures of noncompactness to the infinite system of differential equations in \(\ell_p\) spaces
• On Erdélyi-Kober fractional Urysohn-Volterra quadratic integral equations
• Existence of solution for some nonlinear two-dimensional Volterra integral equations via measures of noncompactness
• On solution of functional integral equation of fractional order
• Existence of solution for an infinite system of nonlinear integral equations via measure of noncompactness and homotopy perturbation method to solve it
• Darbo type fixed and coupled fixed point results and its application to integral equation
• Solvability of nonlinear quadratic integral equation by using simulation type condensing operator and measure of noncompactness
• Numerical approximation of the nonlinear time-fractional telegraph equation arising in neutron transport
• An extension of Darbo's fixed point theorem for a class of system of nonlinear integral equations
• Numerical evaluation of the fractional Klein-Kramers model arising in molecular dynamics
• Solvability of functional-integral equations (fractional order) using measure of noncompactness
• Some fixed point theorems via measure of noncompactness with applications to differential equations
• Applications of measure of noncompactness and operator type contraction for existence of solution of functional integral equations
• Application of simulation function and measure of noncompactness for solvability of nonlinear functional integral equations and introduction to an iteration algorithm to find solution
• Existence of solution for two dimensional nonlinear fractional integral equation by measure of noncompactness and iterative algorithm to solve it
• Positive solutions of fractional integral equations by the technique of measure of noncompactness
• Solvability of an implicit fractional integral equation via a measure of noncompactness argument
• Application of measures of noncompactness to infinite system of linear equations in sequence spaces
• A generalization of Darbo's theorem with application to the solvability of systems of integral equations
• Punti uniti in trasformazioni a codominio non compatto
• EXISTENCE AND ASYMPTOTIC STABILITY OF SOLUTIONS OF A PERTURBED FRACTIONAL FUNCTIONAL-INTEGRAL EQUATION WITH LINEAR MODIFICATION OF THE ARGUMENT
• An equation of Hammerstein type arising in particle transport theory
• Integral equations arising in the kinetic theory of gases
• Existence of solutions of infinite systems of differential equations of general order with boundary conditions in the spaces c₀ and ℓ₁ via the measure of noncompactness
• On a quadratic integral equation with supremum involving Erdélyi-Kober fractional order
• Erdélyi-Kober fractional diffusion
• Applications of Measure of Noncompactness and Darbo’s Fixed Point Theorem to Nonlinear Integral Equations in Banach Spaces
• Sequence Spaces and Measures of Noncompactness with Applications to Differential and Integral Equations
• ON FRACTIONAL INTEGRALS AND DERIVATIVES
• Applications of measure of non-compactness and modified simulation function for solvability of nonlinear functional integral equations