Scopus İndeksli Yayınlar Koleksiyonu

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

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  • Article
    Citation - WoS: 2
    Citation - Scopus: 3
    Abstract Random Differential Equations With State-Dependent Delay Using Measures of Noncompactness
    (Vilnius Univ, inst Mathematics & informatics, 2024) Heris, Amel; Bouteffal, Zohra; Salim, Abdelkrim; Benchohra, Mouffak; Karapinar, Erdal
    This paper is devoted to the existence of random mild solutions for a general class of second-order abstract random differential equations with state-dependent delay. The technique used is a generalization of the classical Darbo fixed point theorem for Frechet spaces associated with the concept of measures of noncompactness. An application related to partial random differential equations with state-dependent delay is presented.
  • Article
    Citation - WoS: 31
    Citation - Scopus: 45
    Controllability of Second Order Functional Random Differential Equations With Delay
    (Mdpi, 2022) Benchohra, Mouffak; Bouazzaoui, Fatima; Karapinar, Erdal; Salim, Abdelkrim
    In this article, we study some existence and controllability results for two classes of second order functional differential equations with delay and random effects. To begin, we employ a random fixed point theorem with a stochastic domain to demonstrate the existence of mild random solutions. Next, we prove that our problems are controllable. Finally, an example is given to validate the theory part.
  • 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.