Browsing by Author "Arjunan, Mani Mallika"

Now showing 1 - 13 of 13

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: 4
Citation - Scopus: 4
Approximate Controllability of Second-Order Nonlocal Impulsive Partial Functional Integro-Differential Evolution Systems
(Univ Nis, Fac Sci Math, 2019) Kavitha, Velusamy; Baleanu, Dumitru; Arjunan, Mani Mallika; Nagaraj, Mahalingam
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.
Citation - WoS: 2
Citation - Scopus: 3
Controllability of Nonlocal Non-Autonomous Neutral Differential Systems Including Non-Instantaneous Impulsive Effects in Rⁿ
(Ovidius Univ Press, 2020) Arjunan, Mani Mallika; Baleanu, Dumitru; Kavitha, Velusamy
This manuscript involves a class of first-order controllability results for nonlocal non-autonomous neutral differential systems with non-instantaneous impulses in the space R-n. Sufficient conditions guaranteeing the controllability of mild solutions are set up. Concept of evolution family and Rothe's fixed point theorem are employed to achieve the required results. A model is investigated to delineate the adequacy of the results.
Citation - WoS: 2
Citation - Scopus: 2
Existence Results for an Impulsive Neutral Integro-Differential Equations in Banach Spaces
(Ovidius Univ Press, 2019) Baleanu, Dumitru; Arjunan, Mani Mallika; Usha, Venkatesh
In this manuscript we investigate the existence of mild solution for a abstract impulsive neutral integro-differential equation by using semi-group theory and Krasnoselskii-Schaefer fixed point theorem in different approach. At last, an example is also provided to illustrate the obtained results.
Citation - Scopus: 1
Existence Results for an Impulsive Pantograph Differential Equations Within Exponential Kernel
(Univ Politehnica Bucharest, Sci Bull, 2022) Kavitha, Velusamy; Baleanu, Dumitru; Kanimozhi, Palanisamy; Arjunan, Mani Mallika; Baleanu, Dumitru; Matematik
This manuscript deals with the existence results for an impulsive pantograph integro-differential equations (IPIDE) through Caputo-Fabrizio (CF) operator. Certain novel existence findings are shown using fixed point approaches. Finally, two numerical examples are provided in the work to demonstrate the application of our theoretical findings.
Citation - WoS: 11
Citation - Scopus: 17
Local Existence for an Impulsive Fractional Neutral Integro-Differential System With Riemann-Liouville Fractional Derivatives in a Banach Space
(Pushpa Publishing House, 2018) Baleanu, Dumitru; Arjunan, Mani Mallika; Kalamani, Palaniyappan; Mallika Arjunan, Mani
In this manuscript, we investigate a sort of fractional neutral integro-differential equations with impulsive outcomes and extend the formula of general solutions for the impulsive fractional neutral integro-differential system in a Banach space. By using the analysis of the limit case and the operator generating compact semigroup, we derive the main results. Finally, an example is discussed to illustrate the efficiency of the results.
Citation - WoS: 5
A New Existence Results on Fractional Differential Inclusions With State-Dependent Delay and Mittag-Leffler Kernel in Banach Space
(Ovidius Univ Press, 2022) Kavitha, Velusamy; Baleanu, Dumitru; Arjunan, Mani Mallika
In this manuscript the existence of the fractional-order functional differential inclusions [FFDI] with state-dependent delay [SDD] is investigated within the Mittag-Leffler kernel. We use both contractive and condensing maps to prove the existence of mild solutions through solution operator. Finally, an example is presented to illustrate the theoretical findings.
Citation - WoS: 5
Citation - Scopus: 12
Non-Instantaneous Impulsive Fractional-Order Delay Differential Systems With Mittag-Leffler Kernel
(Amer inst Mathematical Sciences-aims, 2022) Arjunan, Mani Mallika; Baleanu, Dumitru; Kavitha, Velusamy
The existence of fractional-order functional differential equations with non-instantaneous impulses within the Mittag-Leffler kernel is examined in this manuscript. Non-instantaneous impulses are involved in such equations and the solution semigroup is not compact in Banach spaces. We suppose that the nonlinear term fulfills a non-compactness measure criterion and a local growth constraint. We further assume that non-instantaneous impulsive functions satisfy specific Lipschitz criteria. Finally, an example is given to justify the theoretical results.
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: 22
Citation - Scopus: 28
On Existence Results for Impulsive Fractional Neutral Stochastic Integro-Differential Equations With Nonlocal and State-Dependent Delay Conditions
(Springer, 2016) Baleanu, Dumitru; Selvarasu, Siva; Arjunan, Mani Mallika; Kalamani, Palaniyappan; Mallika Arjunan, Mani
This manuscript deals with a new set of sufficient conditions for the existence of solutions for a class of impulsive fractional neutral stochastic integro-differential systems (IFNSIDS) with nonlocal conditions (NLCs) and state-dependent delay (SDD) in Hilbert spaces. An example is provided to illustrate the obtained theory.
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.
Citation - WoS: 4
Weighted Pseudo Almost Automorphic Functions With Applications To Impulsive Fractional Integro-Differential Equation
(Ovidius Univ Press, 2023) Arjunan, Mani Mallika; Baleanu, Dumitru; Grayna, Jeyakumar; Kavitha, Velusamy
This paper's main motivation is to study the notion of weighted pseudo almost automorphic (WPAA) functions and establish the existence results of piecewise continuous mild solution of fractional order integro-differential equation with instantaneous impulses. The usual WPAA functions may not work since the solution of impulsive differential equations may not be continuous. Thus in order to give a broader spectrum, we introduce this concept. We establish main results by using the Banach contraction mapping principle and Sadovskii's fixed point theorem. An example is shown to exhibit our analytic findings.