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.Caputo Fractional Derivative

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Now showing 1 - 4 of 4
  • 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: 243
    Citation - Scopus: 260
    A Hybrid Caputo Fractional Modeling for Thermostat With Hybrid Boundary Value Conditions
    (Springeropen, 2020) Etemad, Sina; Rezapour, Shahram; Baleanu, Dumitru
    We provide an extension for the second-order differential equation of a thermostat model to the fractional hybrid equation and inclusion versions. We consider boundary value conditions of this problem in the form of the hybrid conditions. To prove the existence of solutions for our hybrid fractional thermostat equation and inclusion versions, we apply the well-known Dhage fixed point theorems for single-valued and set-valued maps. Finally, we give two examples to illustrate our main results.
  • Article
    Citation - WoS: 12
    Citation - Scopus: 23
    Low-Regret Control for a Fractional Wave Equation With Incomplete Data
    (Springeropen, 2016) Joseph, Claire; Mophou, Gisele; Baleanu, Dumitru
    We investigate in this manuscript an optimal control problem for a fractional wave equation involving the fractional Riemann-Liouville derivative and with missing initial condition. For this purpose, we use the concept of no-regret and low-regret controls. Assuming that the missing datum belongs to a certain space we show the existence and the uniqueness of the low-regret control. Besides, its convergence to the no-regret control is discussed together with the optimality system describing the no-regret control.