Scopus İndeksli Yayınlar Koleksiyonu

Permanent URI for this collectionhttps://hdl.handle.net/20.500.12416/8651

Browse

Filters

2015 - 201962020 - 20222

Settings

Access Right: Open AccessAuthor: search.filters.author.Arjunan, Mani Mallika

Search Results

Now showing 1 - 8 of 8
  • Article
    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.
  • Article
    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.
  • Article
    Citation - WoS: 2
    Citation - Scopus: 3
    Controllability of Nonlocal Non-Autonomous Neutral Differential Systems Including Non-Instantaneous Impulsive Effects in R<sup>n</Sup>
    (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.
  • Article
    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.
  • Article
    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.
  • Article
    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.
  • Article
    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.
  • Article
    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.