Results 61 to 70 of about 40,062 (237)

Approximate solution of the conformable integro-differential equations

Miskolc Mathematical Notes
In this paper, fractional linear and nonlinear integro-differential equations are solved by using an iteration method. Fractional derivative and fractional integral are considered in the conformable sense. The conformable integro-differential equation is
Handan Çerdik Yaslan
doaj   +1 more source

On linear and nonlinear integro-differential equations

Journal of Mathematical Analysis and Applications, 1986
Some applications of the decomposition method [the first author, Stochastic systems (1983; Zbl 0523.60056)] to integro-ordinary differential equations are presented.
Randolph Rach, George Adomian
openaire   +3 more sources

Exponential Stability of Higher Order Fractional Neutral Stochastic Differential Equation Via Integral Contractors

Mathematical Methods in the Applied Sciences, Volume 48, Issue 6, Page 6425-6446, April 2025.
ABSTRACT The well‐posedness results for mild solutions to the fractional neutral stochastic differential system with Rosenblatt process with Hurst index Ĥ∈12,1$$ \hat{H}\in \left(\frac{1}{2},1\right) $$ is discussed in this article. To demonstrate the results, the concept of bounded integral contractors is combined with the stochastic result and ...
Dimplekumar N. Chalishajar, Dhanalakshmi Kasinathan, Ramkumar Kasinathan, Ravikumar Kasinathan   +3 more
wiley   +1 more source

Uniform Stability In Nonlinear Infinite Delay Volterra Integro-differential Equations Using Lyapunov Functionals

Nonautonomous Dynamical Systems, 2016
In [10] the first author used Lyapunov functionals and studied the exponential stability of the zero solution of finite delay Volterra Integro-differential equation. In this paper, we use modified version of the Lyapunov functional that were used in [10]
Raffoul Youssef, Rai Habib
doaj   +1 more source

Statistics of non-linear stochastic dynamical systems under L\'evy noises by a convolution quadrature approach

, 2011
This paper describes a novel numerical approach to find the statistics of the non-stationary response of scalar non-linear systems excited by L\'evy white noises.
Cottone G Di Paola M Marino F, Dybiec B, Gikhman I I, Giulio Cottone, Grigoriu M, Lin Y K, Masud A, Metzler R, Protter Philip E, Risken H, Roberts J B, Samko S G, Sobczyk K, Wedig W V, Young D M   +14 more
core   +1 more source

Integro‐Differential Equations in Angular Stabilization of Drone's Motion by Distributed Feedback Control

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT In this paper, we propose angular stabilization of drone's motion using distributed feedback control in the form of an integral operator. It should be stressed that the memory of this integral operator could be unbounded. It is intuitively clear that large length of the observation time opens new possibilities to construct better control based
Alexander Domoshnitsky, Oleg Kupervasser, Anatoly Polonsky   +2 more
wiley   +1 more source

Distributed-order fractional wave equation on a finite domain. Stress relaxation in a rod

, 2010
We study waves in a rod of finite length with a viscoelastic constitutive equation of fractional distributed-order type for the special choice of weight functions.
Agraval, Atanackovic, Atanackovic, Atanackovic, Atanackovic, Atanackovic, Atanackovic, Atanackovic, Atanackovic, Atanackovic, Atanackovic, Bagley, D. Zorica, Drozdov, Hartley, Kilbas, Mainardi, Mainardi, Podlubny, Rogers, Rossikhin, Rossikhin, Rossikhin, Rossikhin, Rossikhin, S. Pilipovic, Samko, Schiessel, T.M. Atanackovic, Vladimirov   +29 more
core   +1 more source

Mathematical Modeling of Measured Recalescence Velocities

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT A moving‐boundary problem of synchronous directional and volumetric solidification in undercooled liquid drops is formulated and solved. Directional solidification is caused by the temperature gradient along the spatial direction, whereas volumetric growth of new phase elements is caused by the melt undercooling ahead of the phase transition ...
Dmitri V. Alexandrov, Eugenya V. Makoveeva, Alexandra E. Glebova, Liubov V. Toropova   +3 more
wiley   +1 more source

A method for solving nonlinear Volterra’s population growth model of noninteger order

Advances in Difference Equations, 2017
Many numerical methods have been developed for nonlinear fractional integro-differential Volterra’s population model (FVPG). In these methods, to approximate a function on a particular interval, only a restricted number of points have been employed.
D Baleanu, B Agheli, M Adabitabar Firozja, M Mohamed Al Qurashi   +3 more
doaj   +1 more source

Structured populations with distributed recruitment: from PDE to delay formulation

, 2016
In this work first we consider a physiologically structured population model with a distributed recruitment process. That is, our model allows newly recruited individuals to enter the population at all possible individual states, in principle.
Calsina, Àngel, Diekmann, Odo, Farkas, József Z.   +2 more
core   +1 more source