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Existence of Solutions for Nonlinear Integro-Differential Equations via Fixed Point Theory

International Scientific Journal of Engineering and Management
: Fixed point theory has emerged as a powerful analytical tool in the study of nonlinear differential and integro-differential equations. This work explores the existence of solutions for a class of first-order nonlinear problems involving both ...
R. B. Deshmukh, P. Bhosale
semanticscholar   +1 more source

Cauchy problem and inverse problem for integro - differential equations of Gerasimov type with regular kernel

Ufa Mathematical Journal
We study the unique solvability of the Cauchy problem for a linear regular integro - differential equation of Gerasimov type in a Banach space. This allows us to obtain a well - posedness criterion for the corresponding linear inverse problem with a ...
V. Fedorov   +2 more
semanticscholar   +1 more source

Power Series Variational Iteration Method for Fractional Order Boundary Value Integro-Differential Equations with certain Orthogonal Polynomials

Nigerian Journal of Science and Environment
The motivation behind this work is the recent advances in literature for seeking numerical techniques for fractional order boundary value integro-differential equations.
E.K. Johnson,, I. N. Njoseh
semanticscholar   +1 more source

DeepXDE: A Deep Learning Library for Solving Differential Equations

SIAM Review, 2021
Lu Lu, George E Karniadakis
exaly  

On Exact Solutions of a Class of Singular Partial Integro-Differential Equations

Lobachevskii Journal of Mathematics, 2021
T. Yuldashev, R. Odinaev, S. Zarifzoda
semanticscholar   +1 more source

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