Results 11 to 20 of about 11,792 (247)

Ulam–Hyers stability of impulsive integrodifferential equations with Riemann–Liouville boundary conditions

Advances in Difference Equations, 2020
This paper is concerned with a class of impulsive implicit fractional integrodifferential equations having the boundary value problem with mixed Riemann–Liouville fractional integral boundary conditions. We establish some existence and uniqueness results
Akbar Zada, Jehad Alzabut, Hira Waheed, Ioan-Lucian Popa   +3 more
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Time-Delay Synchronization and Anti-Synchronization of Variable-Order Fractional Discrete-Time Chen–Rossler Chaotic Systems Using Variable-Order Fractional Discrete-Time PID Control

Mathematics, 2021
In this research paper, we solve the problem of synchronization and anti-synchronization of chaotic systems described by discrete and time-delayed variable fractional-order differential equations. To guarantee the synchronization and anti-synchronization,
Joel Perez Padron, Jose Paz Perez, José Javier Pérez Díaz, Atilano Martinez Huerta   +3 more
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Asymptotic behaviour of mild solution of nonlinear stochastic partial functional equations

Nonlinear Analysis, 2019
This paper presents conditions to assure existence, uniqueness and stability for impulsive neutral stochastic integrodifferential equations with delay driven by Rosenblatt process and Poisson jumps.
Mamadou Abdoul Diop, Amour Toffodji Gbaguidi Amoussou, Carlos Ogouyandjou, Rathinasamy Sakthivel   +3 more
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Approximate Solutions of the Generalized Abel’s Integral Equations Using the Extension Khan’s Homotopy Analysis Transformation Method

Journal of Applied Mathematics, 2015
User friendly algorithm based on the optimal homotopy analysis transform method (OHATM) is proposed to find the approximate solutions to generalized Abel’s integral equations.
Mohamed S. Mohamed, Khaled A. Gepreel, Faisal A. Al-Malki, Maha Al-Humyani   +3 more
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On Atangana–Baleanu-Type Nonlocal Boundary Fractional Differential Equations

Journal of Function Spaces, 2022
This research paper is devoted to investigating two classes of boundary value problems for nonlinear Atangana–Baleanu-type fractional differential equations with Atangana–Baleanu fractional integral conditions.
Mohammed A. Almalahi, Satish K. Panchal, Mohammed S. Abdo, Fahd Jarad   +3 more
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INVESTIGATION OF OSCILLATORY SOLUTIONS OF DIFFERENTIAL-DIFFERENCE EQUATIONS OF SECOND ORDER IN A CRITICAL CASE

Моделирование и анализ информационных систем, 2015
We consider a differential-difference equation of second order of delay type, containing the delay of the function and its derivatives. Such equations occur in the modeling of electronic devices.
E. P. Kubyshkin, A. R. Moryakova
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Representation and stability of solutions of systems of functional differential equations with multiple delays

Electronic Journal of Qualitative Theory of Differential Equations, 2012
This paper is devoted to the study of systems of nonlinear functional differential equations with time-dependent coefficients and multiple variable increasing delays represented by functions $g_i(t)
Michal Pospíšil
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Stability and existence of multiperiodic solutions for second-order linear equations with a diagonal differentiation operator

Қарағанды университетінің хабаршысы. Математика сериясы
The stability of differential equations with periodic and quasiperiodic coefficients is a central topic in modern stability theory, with important applications in mechanics, physics, and dynamical systems. A classical result in this area is the Lyapunov
G.M. Aitenova, Zh.A. Sartabanov, B.Zh. Omarova, A.Kh. Zhumagaziyev   +3 more
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Ulam stability and data dependence for fractional differential equations with Caputo derivative

Electronic Journal of Qualitative Theory of Differential Equations, 2011
In this paper, Ulam stability and data dependence for fractional differential equations with Caputo fractional derivative of order $\alpha$ are studied. We present four types of Ulam stability results for the fractional differential equation in the case ...
JinRong Wang, Linli Lv, Yong Zhou
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On Ulam Stability and Multiplicity Results to a Nonlinear Coupled System with Integral Boundary Conditions

Mathematics, 2019
This manuscript is devoted to establishing existence theory of solutions to a nonlinear coupled system of fractional order differential equations (FODEs) under integral boundary conditions (IBCs).
Kamal Shah, Poom Kumam, Inam Ullah
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