Solvability for 2D non-linear fractional integral equations by Petryshyn's fixed point theorem
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Publication:6556733
DOI10.1016/j.cam.2024.115797zbMATH Open1542.45004MaRDI QIDQ6556733
Publication date: 17 June 2024
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
Other nonlinear integral equations (45G10) Fractional derivatives and integrals (26A33) Fixed-point theorems (47H10) Applications of operator theory to differential and integral equations (47N20) Measures of noncompactness and condensing mappings, (K)-set contractions, etc. (47H08)
Cites Work
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- Construction of a measure of noncompactness on \(BC(\Omega)\) and its application to Volterra integral equations
- Fixed point theorems in ordered Banach spaces and applications to nonlinear integral equations
- On a quadratic fractional Hammerstein-Volterra integral equation with linear modification of the argument
- A new approach to the theory of functional integral equations of fractional order
- Existence of solution for some nonlinear two-dimensional Volterra integral equations via measures of noncompactness
- Existence of solutions to nonlinear functional-integral equations via the measure of noncompactness
- Existence, uniqueness, and numerical solutions for two-dimensional nonlinear fractional Volterra and Fredholm integral equations in a Banach space
- Monotonic solutions of a quadratic integral equation of fractional order
- Monotone solutions of iterative fractional equations found by modified Darbo-type fixed-point theorems
- Existence and characterization of solutions of nonlinear Volterra-Stieltjes integral equations in two variables
- On the concept of existence and local attractivity of solutions for some quadratic Volterra integral equation of fractional order
- Application of measure of noncompactness for solvability of the infinite system of integral equations in two variables in \(\ell _{p} \) \((1<p< \infty)\)
- Sur les espaces complets.
- On the existence of at least a solution for functional integral equations via measure of noncompactness
- Solvability for two dimensional functional integral equations via Petryshyn's fixed point theorem
- On some generalized non-linear functional integral equations of two variables via measures of noncompactness and numerical method to solve it
- An existence result for Hadamard type two dimensional fractional functional integral equations via measure of noncompactness
- A numerical method for solvability of some non-linear functional integral equations
- Existence of solution for two dimensional nonlinear fractional integral equation by measure of noncompactness and iterative algorithm to solve it
- Fractional order integral equations of two independent variables
- Structure of the fixed points sets of k-set-contractions
- On quadratic integral equation of fractional orders
- Application of Petryshyn's fixed point theorem to solvability for functional integral equations
- Existence of a solution to an infinite system of weighted fractional integral equations of a function with respect to another function via a measure of noncompactness
- Nonlinear boundary value problem for implicit differential equations of fractional order in Banach spaces
- The fixed point index and asymptotic fixed point theorems for $k$-set-contractions
- An extension of Darbo’s theorem via measure of non-compactness with its application in the solvability of a system of integral equations
Related Items (2)
Some existence results for a nonlinear \(q\)-integral equations via M.N.C and fixed point theorem Petryshyn ⋮ Existence of solutions for fractional functional integral equations of Hadamard type via measure of noncompactness
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