Results 31 to 40 of about 251 (54)

A Class of Higher‐Order Collocation Scheme for the Integral Equation of the Convolution Type

Journal of Mathematics, Volume 2025, Issue 1, 2025.
Auto convolution Volterra integral equations (ACVIEs) are the particular form of non‐standard integral equations arising in mathematical modeling processes and the computation of certain functions. In this paper, a novel class of multistep collocation methods (NM‐SCMs) is constructed in order to find a higher‐order method is constructed for the ...
M. Alsahlanee, P. Darania, S. Pishbin, Xian-Ming Gu   +3 more
wiley   +1 more source

Hyers-Ulam stability of a nonlinear partial integro-differential equation of order three

Open Mathematics
In this article, we study the Hyers-Ulam stability of a nonlinear partial integro-differential equation of order three, of hyperbolic type, using Bielecki norm.
Marian Daniela, Ciplea Sorina Anamaria, Lungu Nicolaie   +2 more
doaj   +1 more source

Functional Contractions Depending on a Pair of Test Functions Under Locally Transitive Binary Relations With Applications to Nonlinear Integral Equations

Journal of Mathematics, Volume 2025, Issue 1, 2025.
This study explores certain discoveries regarding fixed points under a functional contraction incorporating two test functions within the setup of a metric space equipped with a locally transitive relation. The outcomes investigated herewith refined, expanded, and strengthened several previously established fixed‐point findings.
Doaa Filali, Faizan Ahmad Khan, Maha F. Alsharari, Shurooq Bader Alblawie, Mona Yahya Alfefi, Esmail Alshaban, Guotao Wang   +6 more
wiley   +1 more source

On the properties of the solution set map to Volterra integral inclusion

, 2017
For the multivalued Volterra integral equation defined in a Banach space, the set of solutions is proved to be $R_\delta$, without auxiliary conditions imposed in Theorem 6 [J. Math. Anal. Appl. 403 (2013), 643-666]. It is shown that the solution set map,
Pietkun, Radosław
core   +1 more source

Existence and Asymptotic Stability of Solutions of a Perturbed Quadratic Fractional Integral Equation [PDF]

, 2009
Mathematics Subject Classification: 45G10, 45M99, 47H09We study the solvability of a perturbed quadratic integral equation of fractional order with linear modification of the argument.
Darwish, Mohamed, Henderson, Johnny
core  

Application of artificial neural networks for existence and controllability in impulsive fractional Volterra-Fredholm integro-differential equations

Applied Mathematics in Science and Engineering
This study focuses on impulsive Volterra-Fredholm integro-differential equations (VFIDEs) under specific order conditions, conducting a rigorous analysis involving fractional Caputo derivatives.
Prabakaran Raghavendran, Tharmalingam Gunasekar, Saikat Gochhait   +2 more
doaj   +1 more source

Travelling wave solutions and spreading speeds for a scalar age-structured equation with nonlocal diffusion

European Journal of Applied Mathematics
In this paper, we study the existence of travelling wave solutions and the spreading speed for the solutions of an age-structured epidemic model with nonlocal diffusion.
Arnaud Ducrot, Hao Kang
doaj   +1 more source

Statistical inverse inference for solving the first kind of nonlinear Fredholm integral equation

Applied Mathematics in Science and Engineering
Inverse problems, widely applied in geology, oceanography, and geophysics, are often ill-posed, presenting significant challenges. This study addresses the first kind of nonlinear Fredholm integral equation derived from gravity measurement and magnetic ...
Ailing Wang, Guoqing Chen, Andrei Volodin, Piyapatr Busababodhin   +3 more
doaj   +1 more source

Existence of solutions of some quadratic integral equations [PDF]

, 2008
In this paper we study the existence of continuous solutions of quadratic integral equations. The theory of quadratic integral equations has many useful applications in mathematical physics, economics, biology, as well as in describing real world ...
Giuseppe Anichini, Giuseppe Conti
core   +1 more source

Long time behavior of the solutions to non-linear Kraichnan equations

, 2004
We consider the solution of a nonlinear Kraichnan equation $$\partial_s H(s,t)=\int_t^s H(s,u)H(u,t) k(s,u) du,\quad s\ge t$$ with a covariance kernel $k$ and boundary condition $H(t,t)=1$.
Guionnet, Alice, Mazza, Christian
core   +2 more sources