Browsing by Author "Ravichandran, Chokkalingam"

Now showing 1 - 6 of 6

Citation - WoS: 25
Citation - Scopus: 23
Existence and uniqueness of solutions for fractional nonlinear hybrid impulsive system
(Wiley, 2022) Gupta, Vidushi; 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: 64
Citation - Scopus: 74
Existence of solutions of non-autonomous fractional differential equations with integral impulse condition
(Springer, 2020) Kumar, Ashish; Chauhan, Harsh Vardhan Singh; Ravichandran, Chokkalingam; Nisar, Kottakkaran Sooppy; Baleanu, Dumitru; 56389; Matematik
In this paper, we investigate the existence of solution of non-autonomous fractional differential equations with integral impulse condition by the measure of non-compactness (MNC), fixed point theorems, andk-set contraction. The obtained results are verified via a supporting example.
Citation - WoS: 21
Citation - Scopus: 49
Existence results for fractional neutral functional integro-differential evolution equations with infinite delay in Banach spaces
(Springer international Publishing Ag, 2013) Ravichandran, Chokkalingam; Baleanu, Dumitru; 56389; Matematik
In this paper, we investigate the existence results for a class of abstract fractional neutral integro-differential evolution systems involving the Caputo derivative in Banach spaces. The main techniques rely on the fractional calculus, properties of characteristic solution operators, Monch's fixed point theorem via measures of noncompactness. Particularly, we do not assume that characteristic solution operators are compact. The application is given to illustrate the theory. The results of this article are generalization and improvement of the recent results on this issue. MSC: 26A33, 34A12, 47H08, 47H10.
Citation - WoS: 18
Citation - Scopus: 21
New approach on controllability of Hilfer fractional derivatives with nondense domain
(Amer inst Mathematical Sciences-aims, 2022) Nisar, Kottakkaran Sooppy; Jothimani, Kasthurisamy; Ravichandran, Chokkalingam; Baleanu, Dumitru; Kumar, Devendra; 56389; Matematik
This work picturizes the results on the controllability of the nondense Hilfer neutral fractional derivative (HNFD). The uniqueness and controllability of HNFD are discussed with Winch theorem and Banach contraction technique. In addition, a numerical approximation is given to deal with different criteria of our results.
Citation - WoS: 52
Citation - Scopus: 55
Nonlinear generalized fractional differential equations with generalized fractional integral conditions
(Taylor & Francis Ltd, 2020) Belmor, Samiha; Ravichandran, Chokkalingam; Jarad, Fahd; 234808; Matematik
This research work is dedicated to an investigation of the existence and uniqueness of a class of nonlinear psi-Caputo fractional differential equation on a finite interval , equipped with nonlinear psi-Riemann-Liouville fractional integral boundary conditions of different orders , we deal with a recently introduced psi-Caputo fractional derivative of order . The formulated problem will be transformed into an integral equation with the help of Green function. A full analysis of existence and uniqueness of solutions is proved using fixed point theorems: Leray-Schauder nonlinear alternative, Krasnoselskii and Schauder's fixed point theorems, Banach's and Boyd-Wong's contraction principles. We show that this class generalizes several other existing classes of fractional-order differential equations, and therefore the freedom of choice of the standard fractional operator. As an application, we provide an example to demonstrate the validity of our results.
Citation - WoS: 40
Citation - Scopus: 46
On The Controllability of Fractional Functional Integro-Differential Systems With an İnfinite Delay in Banach Spaces
(Springeropen, 2013) Ravichandran, Chokkalingam; Baleanu, Dumitru; 56389; Matematik
In this manuscript, we study the sufficient conditions for controllability for fractional functional integro-differential systems involving the Caputo fractional derivative of order alpha is an element of(0, 1] in Banach spaces. Our main approach is based on fractional calculus, the properties of characteristic solution operators, Monch's fixed point theorem via measures of noncompactness. Particularly, these results are under some weakly compactness conditions. An example is presented in the end to show the applications of the obtained abstract results.