Browsing by Author "Gupta, Vidushi"

Now showing 1 - 3 of 3

Citation - WoS: 38
Citation - Scopus: 55
Existence and stability analysis to a coupled system of implicit type impulsive boundary value problems of fractional-order differential equations
(Springer, 2019) Jarad, Fahd; Ali, Arshad; Shah, Kamal; Abdeljawad, Thabet; Jarad, Fahd; Gupta, Vidushi; Abdeljawad, Thabet; 234808; Matematik
In this paper, we study a coupled system of implicit impulsive boundary value problems (IBVPs) of fractional differential equations (FODEs). We use the Schaefer fixed point and Banach contraction theorems to obtain conditions for the existence and uniqueness of positive solutions. We discuss Hyers-Ulam (HU) type stability of the concerned solutions and provide an example for illustration of the obtained results.
Citation - WoS: 25
Citation - Scopus: 23
Existence and uniqueness of solutions for fractional nonlinear hybrid impulsive system
(Wiley, 2022) Gupta, Vidushi; Jarad, Fahd; Jarad, Fahd; Valliammal, Natarajan; Ravichandran, Chokkalingam; Nisar, Kottakkaran Sooppy; 234808; Matematik
The investigation of existence and uniqueness of impulsive dynamical fractional systems with quadratic perturbation of second type subject to nonlocal boundary conditions is presented and proved. By employing the fractional theory, Banach contraction technique, and Krasnoselskii's fixed point theorem, we derived some sufficient conditions to ensure the existence of our system. An example is offered to enhance the applicability of the results obtained.
Citation - WoS: 6
Citation - Scopus: 10
Mathematical analysis of nonlocal implicit impulsive problem under caputo fractional boundary conditions
(Hindawi Ltd, 2020) Abdeljawad, Thabet; Ali, Arshad; Gupta, Vidushi; Jarad, Fahd; Abdeljawad, Thabet; Shah, Kamal; Jarad, Fahd; 234808; Matematik
This paper is related to frame a mathematical analysis of impulsive fractional order differential equations (IFODEs) under nonlocal Caputo fractional boundary conditions (NCFBCs). By using fixed point theorems of Schaefer and Banach, we analyze the existence and uniqueness results for the considered problem. Furthermore, we utilize the theory of stability for presenting Hyers-Ulam, generalized Hyers-Ulam, Hyers-Ulam-Rassias, and generalized Hyers-Ulam-Rassias stability results of the proposed scheme. Finally, some applications are offered to demonstrate the concept and results. The whole analysis is carried out by using Caputo fractional derivatives (CFDs).