Browsing by Author "Arjunan, M. Mallika"

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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: 14
Citation - Scopus: 14
Exact Controllability of Fractional Neutral Integro-Differential Systems With State-Dependent Delay in Banach Spaces
(Sciendo, 2016) Arjunan, M. Mallika; Kailasavalli, S.; Baleanu, D.; Suganya, S.; Kalamani, Palaniyappan
In this manuscript, we have a tendency to execute Banach contraction fixed point theorem combined with resolvent operator to analyze the exact controllability results for fractional neutral integrodifferential systems (FNIDS) with state-dependent delay (SDD) in Banach spaces. An illustration is additionally offered to exhibit the achieved hypotheses.
Citation - WoS: 3
Citation - Scopus: 4
Existence Results for Fractional Evolution Systems With Riemann-Liouville Fractional Derivatives and Nonlocal Conditions
(Ios Press, 2017) Arjunan, M. Mallika; Mallika, D.; Baleanu, D.; Kalamani, P.; Baleanuy, D.; Mallika Arjunan, M.
Based on concepts for semigroup theory, fractional calculus, Banach contraction principle and Krasnoselskii fixed point theorem (FPT), this manuscript is principally involved with existence results of Riemann-Liouville (RL) fractional neutral integro-differential systems (FNIDS) with nonlocal conditions (NLCs) in Banach spaces. An example is offered to demonstrate the theoretical concepts.
Citation - WoS: 6
Citation - Scopus: 6
Existence Results for Fractional Neutral Integro-Differential Systems With Nonlocal Condition Through Resolvent Operators
(Ovidius Univ Press, 2019) Baleanu, D.; Suganya, S.; Arjunan, M. Mallika; Mallika, D.; Anuradha, A.; Mallika Arjunan, M.
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.