Results 31 to 40 of about 72 (67)

Singularly perturbed volterra integro-differential equations [PDF]

, 2004
Several investigations have been made on singularly perturbed integral equations. This paper aims at presenting an algorithm for the construction of asymptotic solutions and then provide a proof asymptotic correctness to singularly perturbed systems of ...
Bijura, AM
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On Martínez-Kaabar fractal-fractional double Laplace transformation

Ain Shams Engineering Journal
An extended version of the Martinez-Kaabar fractal-fractional (MKF-F) calculus theory is investigated in this work, to the integral transformations and employed in solving some fractal-fractional (F-F) partial integro-differential equations. Specifically,
Francisco Martínez, Mohammed K.A. Kaabar   +1 more
doaj   +1 more source

Smoothness Properties of Solutions of Caputo-Type Fractional Differential Equations [PDF]

, 2007
Mathematics Subject Classification: 26A33, 34A25, 45D05, 45E10We consider ordinary fractional differential equations with Caputo-type differential operators with smooth right-hand sides. In various places in the literature one can find the statement that
Diethelm, Kai
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Numerical solution of nonlinear Volterra integral equations of the second kind by using Chebyshev polynomials”, [PDF]

, 2007
. Employing the quasilinearization technique to solve the nonlinear Volterra integral equations when the kernel of equation is nonincreasing with respect to the unknown function, yields two coupled sequences of linear Volterra integral equations where ...
K Maleknejad, E Najafi
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Numerical Solution of Linear Quasistatic Hereditary Viscoelasticity Problems I: A Priori Estimates [PDF]

, 1999
. We give a space-time Galerkin finite element discretization of the linear quasistatic compressible viscoelasticity problem as described by an elliptic partial differential equation with a Volterra (memory) term.
Simon Shaw, J. R. Whiteman
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Operator Theoretic Treatment Of Linear Abel Integral Equations Of First Kind [PDF]

, 1996
. We consider a linear Abel integral operator A ff : L 2 (0; 1) \Gamma! L 2 (0; 1) defined by (A ff y)(t) = 1 \Gamma(ff) Z t 0 (t \Gamma s) ff\Gamma1 K(t; s)y(s)ds; 0 t 1; 0 !
Masahiro Yamamoto, Rudolf Gorenflo
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Orthonormal Bernoulli Polynomials for Solving a Class of Two Dimensional Stochastic Volterra-Fredholm Integral Equations. [PDF]

Int J Appl Comput Math, 2022
Pourdarvish A, Sayevand K, Masti I, Kumar S.   +3 more
europepmc   +1 more source

Some approximation results for mild solutions of stochastic fractional order evolution equations driven by Gaussian noise. [PDF]

Stoch Partial Differ Equ, 2023
Fahim K, Hausenblas E, Kovács M.
europepmc   +1 more source

A free boundary problem-in time-for the spread of Covid-19. [PDF]

J Math Biol, 2023
Luckhaus S, Stevens A.
europepmc   +1 more source

Uniqueness of solutions to an Abel type nonlinear integral equation on the half line

Open Mathematics, 2012
Mydlarczyk Wojciech
doaj   +1 more source