Scopus İndeksli Yayınlar Koleksiyonu

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

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Publisher: search.filters.publisher.SpringeropenSubject: search.filters.subject.Fixed Point Theorem

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Now showing 1 - 3 of 3
  • Article
    Citation - WoS: 42
    Citation - Scopus: 48
    On the Controllability of Fractional Functional Integro-Differential Systems With an Infinite Delay in Banach Spaces
    (Springeropen, 2013) Baleanu, Dumitru; Ravichandran, Chokkalingam
    In this manuscript, we study the sufficient conditions for controllability for fractional functional integro-differential systems involving the Caputo fractional derivative of order alpha is an element of(0, 1] in Banach spaces. Our main approach is based on fractional calculus, the properties of characteristic solution operators, Monch's fixed point theorem via measures of noncompactness. Particularly, these results are under some weakly compactness conditions. An example is presented in the end to show the applications of the obtained abstract results.
  • Article
    Citation - WoS: 23
    Citation - Scopus: 23
    Existence and Uniqueness of Solutions for Multi-Term Nonlinear Fractional Integro-Differential Equations
    (Springeropen, 2013) Nazemi, Sayyedeh Zahra; Rezapour, Shahram; Baleanu, Dumitru
    In this manuscript, by using the fixed point theorems, the existence and the uniqueness of solutions for multi-term nonlinear fractional integro-differential equations are reported. Two examples are presented to illustrate our results.
  • 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.