Results 21 to 30 of about 485,712 (256)

Advanced shifted first-kind Chebyshev collocation approach for solving the nonlinear time-fractional partial integro-differential equation with a weakly singular kernel

open access: yesComputational and Applied Mathematics, 2022
This research apparatuses an approximate spectral method for the nonlinear time-fractional partial integro-differential equation with a weakly singular kernel (TFPIDE).
A. G. Atta, Youssri Hassan Youssri
semanticscholar   +1 more source

On a New Class of Singular Integro-differential Equations

open access: yesҚарағанды университетінің хабаршысы. Математика сериясы, 2021
In this paper for a new class of model and non-model partial integro-differential equations with singularity in the kernel, we obtained integral representation of family of solutions by aid of arbitrary functions.
T.K. Yuldashev, S.K. Zarifzoda
doaj   +1 more source

On the Fundamental Analyses of Solutions to Nonlinear Integro-Differential Equations of the Second Order

open access: yesMathematics, 2022
In this article, a scalar nonlinear integro-differential equation of second order and a non-linear system of integro-differential equations with infinite delays are considered.
Cemil Tunç, Osman Tunç
doaj   +1 more source

On the integro‐differential equations with reflection

open access: yesMathematical Methods in the Applied Sciences, 2020
In this paper, by developing important properties on the composition of functions with reflection, using some exponential dichotomy properties and an application of the fixed‐point theorem, several new sufficient conditions for the existence and the uniqueness of an pseudo almost automorphic solutions with measure for some general‐type reflection ...
El Hadi Ait Dads   +2 more
openaire   +1 more source

Haar Wavelet Method for the Numerical Solution of Nonlinear Fredholm Integro-Differential Equations [PDF]

open access: yesمجلة التربية والعلم, 2023
The solution of nonlinear Fredholm integro-differential equations plays a significant role in analyzing many nonlinear events that occur in chemistry, physics, mathematical biology, and a variety of other fields of science and engineering.
Najem A. Mohammad   +2 more
doaj   +1 more source

On the existence of solutions for a multi-singular pointwise defined fractional q-integro-differential equation

open access: yesBoundary Value Problems, 2020
By using the Caputo type and the Riemann–Liouville type fractional q-derivative, we investigate the existence of solutions for a multi-term pointwise defined fractional q-integro-differential equation with some boundary value conditions. In fact, we give
S. Rezapour, M. Samei
semanticscholar   +1 more source

On the non-uniqueness of the solution to a boundary value problem of heat conduction with a load in the form of a fractional derivative [PDF]

open access: yesҚарағанды университетінің хабаршысы. Математика сериясы, 2022
The paper deals with the second boundary value problem for the loaded heat equation in the first quadrant.
M.T. Kosmakova   +2 more
doaj   +3 more sources

On Pantograph Integro-Differential Equations

open access: yesJournal of Integral Equations and Applications, 1994
The authors study the initial value problem for pantograph integro- differential equations of the form \[ y'(t) = a y(t) + \int^ 1_ 0 y(qt) d \mu (q) + \int^ 1_ 0 y'(qt) d \nu (q),\;t > 0, \quad y(0) = y_ 0, \tag{1} \] where \(a\) is a complex constant, \(\mu (q)\) and \(\nu (q)\) are complex-valued functions of bounded variation on \([0,1]\). Denote \(
Iserles, Arieh, Liu, Yunkang
openaire   +2 more sources

New applications of the two variable (G′/G, 1/G)-expansion method for closed form traveling wave solutions of integro-differential equations

open access: yesJournal of Ocean Engineering and Science, 2019
Most fundamental themes in mathematical physics and modern engineering are investigated by the closed form traveling wave solutions of nonlinear evolution equations.
M. Mamun Miah   +3 more
doaj   +1 more source

Fox H-Functions in Self-Consistent Description of a Free-Electron Laser

open access: yesFractal and Fractional, 2021
A fractional calculus concept is considered in the framework of a Volterra type integro-differential equation, which is employed for the self-consistent description of the high-gain free-electron laser (FEL).
Alexander Iomin
doaj   +1 more source

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