Scopus İndeksli Yayınlar Koleksiyonu
Permanent URI for this collectionhttps://hdl.handle.net/20.500.12416/8651
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Article Citation - WoS: 2Citation - Scopus: 3Existence and Attractivity Results on Semi-Infinite Intervals for Integrodifferential Equations With Non-Instantaneous Impulsions in Banach Spaces(Ovidius Univ Press, 2024) Bensalem, Abdelhamid; Salim, Abdelkrim; Benchohra, Mouffak; Karapinar, ErdalIn this article, we study the existence of mild solutions of a non-instantaneous integrodi erential equations on unbounded domain via resolvent operators in Banach space. For our proofs, we employ the semigroups theory and Schauder's fixed point theorem. Moreover, we show that solutions of our problem are attractive. Finally, an example is given to validate the theory part.Article Citation - WoS: 2Citation - Scopus: 2Existence Results for an Impulsive Neutral Integro-Differential Equations in Banach Spaces(Ovidius Univ Press, 2019) Baleanu, Dumitru; Arjunan, Mani Mallika; Usha, VenkateshIn 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: 33Citation - Scopus: 39An Efficient Technique for Fractional Coupled System Arisen in Magnetothermoelasticity With Rotation Using Mittag-Leffler Kernel(Asme, 2021) Prakasha, D. G.; Baleanu, Dumitru; Veeresha, P.In this paper, we find the solution for fractional coupled system arisen in magnetothermoelasticity with rotation using q-homotopy analysis transform method ( q-HATM). The proposed technique is graceful amalgamations of Laplace transform technique with q-homotopy analysis scheme, and fractional derivative defined with Mittag-Leffler kernel. The fixed point hypothesis is considered to demonstrate the existence and uniqueness of the obtained solution for the proposed fractional order model. To illustrate the efficiency of the future technique, we analyzed the projected model in terms of fractional order. Moreover, the physical behavior of q-HATM solutions has been captured in terms of plots for different arbitrary order. The attained consequences confirm that the considered algorithm is highly methodical, accurate, very effective, and easy to implement while examining the nature of fractional nonlinear differential equations arisen in the connected areas of science and engineering.Article Citation - WoS: 14Citation - Scopus: 14Exact 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, PalaniyappanIn 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.Article Citation - WoS: 2Citation - Scopus: 3Analysis of Mixed-Order Caputo Fractional System With Nonlocal Integral Boundary Condition(Tubitak Scientific & Technological Research Council Turkey, 2018) Khodabakhshi, Neda; Baleanu, Dumitru; Akman Yildiz, Tugba; Yıldız, Tuğba AkmanThis paper deals with a mixed-order Caputo fractional system with nonlocal integral boundary conditions. This study can be considered as an extension of previous studies, since the orders of the equations lie on different intervals. We discuss the existence and uniqueness of the solution using fixed point methods. We enrich the study with an example.