Browsing by Author "Suganya, Selvaraj"

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A note on fractional neutral integro-differential inclusions with state-dependent delay in Banach spaces
(Eudoxus Press, 2016) Baleanu, Dumitru; Baleanu, Dumitru; Arjunan, M. Mallika
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.
A Note On Non-İnstantaneous Impulsive Fractional Neutral Integro-Differential Systems With State-Dependent Delay in Banach Spaces
(Eudoxus Press, 2018) Baleanu, Dumitru; Baleanu, Dumitru; Kalamani, Palaniyappan; Arjunan, M. Mallika; 56389
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.
A Note On Sobolev Form Fractional Integro-Differential Equation With State-Dependent Delay Via Resolvent Operators
(Cambridge Scientific Publishers, 2017) Baleanu, Dumitru; Suganya, Selvaraj; Baleanu, Dumitru; Arjunan, M. Mallika; 56389
This paper explores the new existence and uniqueness of mild solutions for a class of Sobolev form fractional integro-differential equation (in short SFFIDE) with state-dependent delay (in short SDD) and nonlocal conditions (in short NLCs) via resolvent operators in Banach spaces. By making use of Banach contraction principle and Krasnoselskii fixed point theorem (in short FPT) along with resolvent operators and fractional calculus, we develop the sought outcomes. An illustration is furthermore provided to demonstrate the acquired concepts.
About the existence results of fractional neutral integrodifferential inclusions with state-dependent delay in frechet spaces
(Hindawi Ltd, 2016) Suganya, Selvaraj; Baleanu, Dumitru; Baleanu, Dumitru; Selvarasu, Siva; Arjunan, Mani Mallika; 56389
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.
Approximate Controllability of Second-Order Nonlocal Impulsive Functional Integro-Differential Systems in Banach Spaces
(Korean Mathematical Soc, 2018) Baleanu, Dumitru; Baleanu, Dumitru; Arjunan, Mani Mallika; Nagaraj, Mahalingam; Suganya, Selvaraj; 56389
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.
Approximate Controllability of Second-Order Nonlocal Impulsive Partial Functional Integro-Differential Evolution Systems in Banach Spaces
(University of Nis, 2019) Baleanu, Dumitru; Suganya, Selvaraj; Baleanu, Dumitru; Arjunan, Mani Mallika; 56389
This manuscript is involved with a class of second-order impulsive partial functional integro-differential evolution equations with nonlocal conditions in Banach spaces. Sufficient conditions ensuring the existence and approximate controllability of mild solutions are established. Theory of cosine family, Banach contraction principle and Leray-Schauder nonlinear alternative fixed point theorem are employed for achieving the required results. An example is analyzed to illustrate the effectiveness of the outcome. © 2019, University of Nis. All rights reserved.
Approximate Controllability Results for Impulsive Partial Functional Nonlocal Integro-Differential Evolution Systems Through Resolvent Operators
(L and H Scientific Publishing, LLC, 2018) Baleanu, Dumitru; Suganya, Selvaraj; Baleanu, Dumitru; Arjunan, M. Mallika; 56389
This paper investigates the existence and approximate controllability results for a class of impulsive functional integro-differential evolution systems with nonlocal conditions via resolvent operators in Banach spaces. By making utilization of Banach contraction principle and Schaefer's fixed point theorem along with resolvent operators and semigroup theory, we build up the desired results. As an application, we also consider an impulsive partial functional integro-differential equations.
Existence and controllability of fractional neutral integro-differential systems with state-dependent delay
(2018) Baleanu, Dumitru; Baleanu, Dumitru; Suganya, Selvaraj; Arjunan, Mani Mallika; 56389
In light of ideas for semigroups, fractional calculus and Banach contraction principle, this manuscript is mainly concerned with existence and controllability of fractional neutral integro-differential structures with state-dependent delay in Banach spaces. To obtain our results, our working hypotheses are that the functions determining the equation satisfy certain Lipschitz conditions of local type which is similar to the hypotheses [5]. Examples are presented to demonstrate the application of the results established.
Existence results for fractional neutral integro-differential systems with nonlocal condition through resolvent operators
(Ovidius Univ Press, 2019) Baleanu, Dumitru; Baleanu, Dumitru; Suganya, Selvaraj; Arjunan, M. Mallika; 56389
The manuscript is primarily concerned with the new existence results for fractional neutral integro-differential equation (FNIDE) with nonlocal conditions (NLCs) in Banach spaces. Based on the Banach contraction principle and Krasnoselskii fixed point theorem (FPT) joined with resolvent operators, we develop the main results. Ultimately, an representation is also offered to demonstrate the accomplished theorem.
On fractional neutral integro-differential systems with state-dependent delay and non-instantaneous impulses
(Springeropen, 2015) Suganya, Selvaraj; Baleanu, Dumitru; Baleanu, Dumitru; Kalamani, Palaniyappan; Arjunan, Mani Mallika
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.