Browsing by Author "Suganya, Selvaraj"

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A Note On Non-İnstantaneous Impulsive Fractional Neutral Integro-Differential Systems With State-Dependent Delay in Banach Spaces
(Eudoxus Press, 2018) Suganya, Selvaraj; Baleanu, Dumitru; Kalamani, Palaniyappan; Arjunan, M. Mallika
In this research, we establish the existence results for non-instantaneous impulsive fractional neutral integro-differential systems with state-dependent delay in Banach space. By utilizing the Banach contraction principle and condensing fixed point theorem coupled with semigroup theory, we build up the desired results. To acquire the main results, our working concepts are that the functions deciding the equation fulfill certain Lipschitz conditions of local type which is similar to the hypotheses [5]. In the end, an example is given to show the abstract theory.
Citation - WoS: 3
Citation - Scopus: 6
About the Existence Results of Fractional Neutral Integrodifferential Inclusions With State-Dependent Delay in Frechet Spaces
(Hindawi Ltd, 2016) Baleanu, Dumitru; Selvarasu, Siva; Arjunan, Mani Mallika; Suganya, Selvaraj
A recent nonlinear alternative for multivalued contractions in Frechet spaces thanks to Frigon fixed point theorem consolidated with semigroup theory is utilized to examine the existence results for fractional neutral integrodifferential inclusions (FNIDI) with state-dependent delay (SDD). An example is described to represent the hypothesis.
Citation - WoS: 5
Citation - Scopus: 4
Approximate Controllability of Second-Order Nonlocal Impulsive Functional Integro-Differential Systems in Banach Spaces
(Korean Mathematical Soc, 2018) Arjunan, Mani Mallika; Nagaraj, Mahalingam; Suganya, Selvaraj; Baleanu, Dumitru
This manuscript is involved with a category of second-order impulsive functional integro-differential equations with nonlocal conditions in Banach spaces. Sufficient conditions for existence and approximate controllability of mild solutions are acquired by making use of the theory of cosine family, Banach contraction principle and Leray-Schauder nonlinear alternative fixed point theorem. An illustration is additionally furnished to prove the attained principles.
Citation - WoS: 5
Citation - Scopus: 6
A Note on Fractional Neutral Integro-Differential Inclusions With State-Dependent Delay in Banach Spaces
(Eudoxus Press, Llc, 2016) Suganya, Selvaraj; Baleanu, Dumitru; Baleanu, Dumitru; Arjunan, Mani Mallika; Matematik
We have applied different fixed point theorems to examine the existence results for fractional neutral integro-differential inclusions (FNIDI) with state-dependent delay (SDD) in Banach spaces. We tend to conjointly discuss the cases once the multivalued nonlinear term takes convex values further as nonconvex values. An example is offered to demonstrate the obtained results.
Citation - WoS: 28
Citation - Scopus: 39
On Fractional Neutral Integro-Differential Systems With State-Dependent Delay and Non-Instantaneous Impulses
(Springeropen, 2015) Baleanu, Dumitru; Kalamani, Palaniyappan; Arjunan, Mani Mallika; Suganya, Selvaraj; Mallika Arjunan, Mani
In this manuscript, we work to actualize the Darbo Banas and Goebel in Measure of Noncompactness in Banach Space. Lecture Notes in Pure and Applied Mathematics, 1980) fixed point theorem (FPT) coupled with the Hausdorff measure of non-compactness to analyze the existence results for an impulsive fractional neutral integro-differential equation (IFNIDE) with state- dependent delay (SDD) and non- instantaneous impulses (NII) in Banach spaces. Finally, examples are offered to demonstrate the concept.