Scopus İndeksli Yayınlar Koleksiyonu

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

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Author: search.filters.author.Arjunan, Mani MallikaWoS Q: search.filters.wosQuartile.Q1

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Now showing 1 - 5 of 5
  • 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: 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.