Solvability for two dimensional functional integral equations via Petryshyn's fixed point theorem
DOI10.1007/s13398-021-01100-9zbMath1494.47129OpenAlexW3193912529MaRDI QIDQ2050196
Deepak Dhiman, Amar Deep, Bipan Hazarika, Syed Abbas
Publication date: 30 August 2021
Published in: Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s13398-021-01100-9
Other nonlinear integral equations (45G10) Fixed-point theorems (47H10) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Applications of operator theory to differential and integral equations (47N20)
Related Items (7)
Cites Work
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- Existence of solution for some nonlinear two-dimensional Volterra integral equations via measures of noncompactness
- Existence results for fractional neutral functional integro-differential evolution equations with infinite delay in Banach spaces
- Multidimensional integral equations and inequalities
- A new approach for numerical solution of two-dimensional nonlinear Fredholm integral equations in the most general kind of kernel, based on Bernstein polynomials and its convergence analysis
- On the controllability of fractional functional integro-differential systems with an infinite delay in Banach spaces
- Existence of positive solution and Hyers-Ulam stability for a nonlinear singular-delay-fractional differential equation
- Application of measure of noncompactness for solvability of the infinite system of integral equations in two variables in \(\ell _{p} \) \((1<p< \infty)\)
- Perturbation of linear abstract Volterra equations
- Measures of noncompactness and superposition operator in the space of regulated functions on an unbounded interval
- Solvability for generalized nonlinear functional integral equations in Banach spaces with applications
- Stability analysis by fixed point theorems for a class of non-linear Caputo nabla fractional difference equation
- A study of boundary value problem for generalized fractional differential inclusion via endpoint theory for weak contractions
- Applying new fixed point theorems on fractional and ordinary differential equations
- Existence and Hyers-Ulam stability for a nonlinear singular fractional differential equations with Mittag-Leffler kernel
- 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
- On the solutions of Caputo-Hadamard Pettis-type fractional differential equations
- Existence of solution for non-linear functional integral equations of two variables in Banach algebra
- Solutions of the nonlinear integral equation and fractional differential equation using the technique of a fixed point with a numerical experiment in extended \(b\)-metric space
- Structure of the fixed points sets of k-set-contractions
- Computational Methods in Nonlinear Analysis
- Integral equations arising in the kinetic theory of gases
- On some epidemic models
- The fixed point index and asymptotic fixed point theorems for $k$-set-contractions
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