Using Touchard Polynomials Method for Solving Volterra-Fredholm Integro-Differential Equations
Tikrit Journal of Pure Science, 2021 The goal of this paper is to introduce numerical solution for Volterra-Fredholm integro-differential equations of the second kind. The proposed method is Touchard polynomials method, and this technique transforms the integro-differential equations to ...
Mohammed Khalid Shahoodh
doaj +1 more source
Nonlocal Sequential Boundary Value Problems for Hilfer Type Fractional Integro-Differential Equations and Inclusions [PDF]
, 2021 In the present research, we study boundary value problems for fractional integro-differential equations and inclusions involving the Hilfer fractional derivative.
Jessada Tariboon +3 more
core +1 more source
Accelerating Solutions in Integro-Differential Equations [PDF]
SIAM Journal on Mathematical Analysis, 2011 In this paper, we study the spreading properties of the solutions of an integro-differential equation of the form $u_t=J\ast u-u+f(u).$ We focus on equations with slowly decaying dispersal kernels $J(x)$ which correspond to models of population dynamics with long-distance dispersal events. We prove that for kernels $J$ which decrease to $0$ slower than
openaire +5 more sources
Symbolic Analysis for Boundary Problems: From Rewriting to Parametrized Groebner Bases [PDF]
, 2010 We review our algebraic framework for linear boundary problems (concentrating on ordinary differential equations). Its starting point is an appropriate algebraization of the domain of functions, which we have named integro-differential algebras.
Regensburger, Georg +4 more
core +1 more source
Mathematical Modeling of COVID-19 Transmission in the Form of System of Integro-Differential Equations [PDF]
, 2022 The model of the spread of the coronavirus pandemic in the form of a system of integro-differential equations is studied. We focus our consideration on the number of hospitalized patients, i.e., on the needs of the system regarding hospital beds that can
Alexander Domoshnitsky +2 more
core +1 more source
Newton's Method for Solving Hilfer Fractional Volterra-Fredholm Integro Differential Equations [PDF]
Sahand Communications in Mathematical AnalysisIn this paper, we apply Newton's method to solve a class of integro-differential equations of the Volterra-Fredholm type with nonlocal characteristics, involving almost sectorial operators and Hilfer fractional derivatives.
karim Ivaz, Ismael Alas‎sadi
doaj +1 more source
On the perturbation of Volterra integro-differential equations
Applied Mathematics Letters, 2013 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Soon-Mo Jung +2 more
openaire +5 more sources
Some Singular Integro-Differential Equations
Funkcialaj Ekvacioj, 2023 Summary: We are devoted with a singular integro-differential problem. Required conditions on spaces and operators are given guaranteeing existence and uniqueness of solutions. We make use of \textit{W. M. Greenlee}'s idea [Ann. Inst. Fourier 18, No. 2, 135--191 (1968; Zbl 0175.40006)] to rewrite the singular integro-differential problem in a regular ...
Horani, Mohammed Al +2 more
openaire +1 more source
Numerics of boundary-domain integral and integro-differential equations for BVP with variable coefficient in 3D [PDF]
, 2013 This is the post-print version of the article. The official published version can be accessed from the links below - Copyright @ 2013 Springer-VerlagA numerical implementation of the direct boundary-domain integral and integro-differential equations ...
Mikhailov, SE +2 more
core +1 more source
Solvability of a State–Dependence Functional Integro-Differential Inclusion with Delay Nonlocal Condition [PDF]
, 2022 There is great focus on phenomena that depend on their past history or their past state. The mathematical models of these phenomena can be described by differential equations of a self-referred type. This paper is devoted to studying the solvability of a
Rami Ahmad El-Nabulsi +5 more
core +1 more source