Matematik Bölümü Yayın Koleksiyonu

Permanent URI for this collectionhttps://hdl.handle.net/20.500.12416/413

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Author: search.filters.author.Rezapour, ShahramScopus Q: search.filters.scopusQuartile.Q2

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Now showing 1 - 8 of 8
  • Article
    Citation - WoS: 15
    Citation - Scopus: 14
    Criteria for Existence of Solutions for a Liouville-Caputo Boundary Value Problem Via Generalized Gronwall's Inequality
    (Springer, 2021) Baleanu, Dumitru; Etemad, Sina; Rezapour, Shahram; Mohammadi, Hakimeh
    In this research, we first investigate the existence of solutions for a new fractional boundary value problem in the Liouville-Caputo setting with mixed integro-derivative boundary conditions. To do this, Kuratowski's measure of noncompactness and Sadovskii's fixed point theorem are our tools to reach this aim. In the sequel, we discuss the continuous dependence of solutions on parameters by means of the generalized Gronwall inequality. Moreover, we consider an inclusion version of the given boundary problem in which we study its existence results by means of the endpoint theory. Finally, we prepare two simulative numerical examples to confirm the validity of the analytical findings.
  • Article
    Citation - WoS: 22
    Citation - Scopus: 25
    Attractivity for a K-Dimensional System of Fractional Functional Differential Equations and Global Attractivity for a K-Dimensional System of Nonlinear Fractional Differential Equations
    (Springeropen, 2014) Nazemi, Sayyedeh Zahra; Rezapour, Shahram; Baleanu, Dumitru
    In this paper, we present some results for the attractivity of solutions for a k-dimensional system of fractional functional differential equations involving the Caputo fractional derivative by using the classical Schauder's fixed-point theorem. Also, the global attractivity of solutions for a k-dimensional system of fractional differential equations involving Riemann-Liouville fractional derivative are obtained by using Krasnoselskii's fixed-point theorem. We give two examples to illustrate our main results.
  • Article
    Citation - WoS: 78
    Citation - Scopus: 97
    Some Existence Results for a Nonlinear Fractional Differential Equation on Partially Ordered Banach Spaces
    (Springeropen, 2013) Agarwal, Ravi P.; Mohammadi, Hakimeh; Rezapour, Shahram; Baleanu, Dumitru
    By using fixed point results on cones, we study the existence and uniqueness of positive solutions for some nonlinear fractional differential equations via given boundary value problems. Examples are presented in order to illustrate the obtained 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: 157
    Citation - Scopus: 166
    On Fractional Integro-Differential Inclusions Via the Extended Fractional Caputo-Fabrizio Derivation
    (Springeropen, 2019) Rezapour, Shahram; Saberpour, Zohreh; Baleanu, Dumitru
    We first show that four fractional integro-differential inclusions have solutions. Also, we show that dimension of the set of solutions for the second fractional integro-differential inclusion problem is infinite dimensional under some different conditions.
  • Article
    Citation - WoS: 160
    Citation - Scopus: 164
    On High Order Fractional Integro-Differential Equations Including the Caputo-Fabrizio Derivative
    (Springeropen, 2018) Baleanu, Dumitru; Mousalou, Asef; Rezapour, Shahram; Aydogan, Melike S.
    By using the fractional Caputo-Fabrizio derivative, we introduce two types new high order derivations called CFD and DCF. Also, we study the existence of solutions for two such type high order fractional integro-differential equations. We illustrate our results by providing two examples.
  • Article
    Citation - WoS: 143
    Citation - Scopus: 162
    On the Existence of Solutions for Some Infinite Coefficient-Symmetric Caputo-Fabrizio Fractional Integro-Differential Equations
    (Springeropen, 2017) Mousalou, Asef; Rezapour, Shahram; Baleanu, Dumitru
    By mixing the idea of 2-arrays, continued fractions, and Caputo-Fabrizio fractional derivative, we introduce a new operator entitled the infinite coefficient-symmetric Caputo-Fabrizio fractional derivative. We investigate the approximate solutions for two infinite coefficient-symmetric Caputo-Fabrizio fractional integro-differential problems. Finally, we analyze two examples to confirm our main results.
  • Article
    Citation - WoS: 29
    Citation - Scopus: 31
    On a Time-Fractional Integrodifferential Equation Via Three-Point Boundary Value Conditions
    (Hindawi Ltd, 2015) Rezapour, Shahram; Etemad, Sina; Alsaedi, Ahmed; Baleanu, Dumitru
    The existence and the uniqueness theorems play a crucial role prior to finding the numerical solutions of the fractional differential equations describing the models corresponding to the real world applications. In this paper, we study the existence of solutions for a time-fractional integrodifferential equation via three-point boundary value conditions.