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Browsing Matematik Bölümü Yayın Koleksiyonu by Author "Çankaya Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bölümü"

Now showing items 21-40 of 861

A Frational Finite Differene Inclusion

Abdeljawad, Thabet; Karapınar,Erdal (Eudoxus Press, 2016)

In this manuscript, we investigated the fractional finite difference inclusion (formula presented) via the boundary conditions Δx(b+μ)=A and x(μ-2)=B, where 1 < μ ≤ 2, A, B ε ℝ. and (formula presented) is a compact valued ...
A Gap in the Paper A Note On Cone Metric Fixed Point Theory and Its Equivalence [Nonlinear Anal. 72(5), (2010), 2259-2261]

Abdeljawad, Thabet; Karapınar, Erdal (2011)

There is a gap in Theorem 2.2 of the paper of Du [1]. In this paper, we shall state the gap and repair it.
A General Form of Fractional Derivatives for Modelling Purposes in Practice

Jajarmi, Amin; Baleanu, Dumitru (2023)

In this paper, we propose new mathematical models for the complex dynamics of the world population growth as well as a human body's blood ethanol concentration by using a general formulation in fractional calculus. In these ...
A Hamiltonian formulation and a direct numerical scheme for fractional optimal control problems

Agrawal, Om. P.; Baleanu, Dumitru (Sage Publications LTD, 2007-09)

This paper deals with a direct numerical technique for Fractional Optimal Control Problems (FOCPs). In this paper, we formulate the FOCPs in terms of Riemann-Liouville Fractional Derivatives (RLFDs). It is demonstrated ...
A Homotopy Perturbation Solution for Solving Highly Nonlinear Fluid Flow Problem Arising in Mechanical Engineering

Khan, Yasir; Akgül, Ali; Faraz, Naeem; İnç, Mustafa; Akgül, Esra Karataş; Baleanu, Dumitru (Amer Inst Physics, 2018)

In this paper, a highly nonlinear equations are treated analytically via homotopy perturbation method for fluid mechanics problem. The non-linear differential equations are transformed to a coupled non-linear ordinary, ...
A Hybrid Caputo Fractional Modeling for Thermostat With Hybrid Boundary Value Conditions

Baleanu, Dumitru; Etemad, Sina; Rezapour, Shahram (Springer, 2020-12-01)

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 ...
A Jacobi Collocation Method for Solving Nonlinear Burgers-Type Equations

Doha, E. H.; Baleanu, Dumitru; Bhrawy, A. H.; Abdelkawy, M. A. (Hindawi LTD, 2013)

We solve three versions of nonlinear time-dependent Burgers-type equations. The Jacobi-Gauss-Lobatto points are used as collocation nodes for spatial derivatives. This approach has the advantage of obtaining the solution ...
A Jacobi Collocation Method for Troesch'S Problem in Plasma Physics

Doha, Eid. H.; Baleanu, Dumitru; Bhrawy, A. H.; Hafez, R. M. (Editura Academiei Romane, 2014-04)

In this paper, we propose a numerical approach for solving Troesch's problem which arises in the confinement of a plasma column by radiation pressure. It is also an inherently unstable two-point boundary value problem. The ...
A Jacobi Operational Matrix for Solving A Fuzzy Linear Fractional Differential Equation

Ahmadian, Ali; Suleiman, Mohamed; Salahshour, Soheil; Baleanu, Dumitru (Springer International Publishing AG, 2013)

This paper reveals a computational method based using a tau method with Jacobi polynomials for the solution of fuzzy linear fractional differential equations of order . A suitable representation of the fuzzy solution via ...
A k-Dimensional System of Fractional Finite Difference Equations

Baleanu, Dumitru; Doha, E. H.; Bhrawy, A. H.; Abdelkawy, M. A. (Hindawi LTD, 2013)

We solve three versions of nonlinear time-dependent Burgers-type equations. The Jacobi-Gauss-Lobatto points are used as collocation nodes for spatial derivatives. This approach has the advantage of obtaining the solution ...
A k-Dimensional System of Fractional Neutral Functional Differential Equations with Bounded Delay

Baleanu, Dumitru; Nazemi, Sayyedeh Zahra; Rezapour, Shahram (Hindawi LTD, 2014)

In 2010, Agarwal et al. studied the existence of a one-dimensional fractional neutral functional differential equation. In this paper, we study an initial value problem for a class of k-dimensional systems of fractional ...
A Kamenev-Type Oscillation Result For a Linear (1+Alpha)-Order Fractional Differential Equation

Baleanu, Dumitru; Mustafa, Octavian G.; O'Regan, Donal (Elsevier Science, 2015-05-15)

We investigate the eventual sign changing for the solutions of the linear equation (x((alpha)))' + q(t)x = t >= 0, when the functional coefficient q satisfies the Kamenev-type restriction lim sup 1/t epsilon integral(t)(to) ...
A Lebesgue İntegrable Space of Boehmians for A Class of Dk Transformations

Baleanu, Dumitru; Al-Omari, Shrideh Khalaf Qasem (Eudoxus Press, 2018)

Boehmians are objects obtained by an abstract algebraic construction similar to that of field of quotients and it in some cases just gives the field of quotients. As Boehmian spaces are represented by convolution quotients, ...
A Local Fractional Variational Iteration Method for Laplace Equation Within Local Fractional Operators

Yang, Yong-Ju; Baleanu, Dumitru; Yang, Xiao-Jun (Hindawi LTD, 2013)

he local fractional variational iteration method for local fractional Laplace equation is investigated in this paper. The operators are described in the sense of local fractional operators. The obtained results reveal that ...
A Mathematical Model For Simulation of A Water Table Profile Between Two Parallel Subsurface Drains Using Fractional Derivatives

Mehdinejadiani, Behrouz; Naseri, Abd Ali; Jafari, Hossein; Ghanbarzadeh, Afshin (Pergamon-Elsevier Science LTD, 2013-09)

By considering the initial and boundary conditions corresponding to parallel subsurface drains, the linear form of a one-dimensional fractional Boussinesq equation was solved and an analytical mathematical model was developed ...
A Mathematical Study of Natural Convection Flow Through A Channel With Non-Singular Kernels: An Application to Transport Phenomena

Saeed, Syed Tauseef; Riaz, Muhammad Bilal; Baleanu, Dumitru; Abro, Kashif Ali (Elsevier B.V., 2020)

In this manuscript, we have obtained closed form solution using Laplace transform, inversion algorithm and convolution theorem. The study of mass transfer flow of an incompressible fluid is carried out near vertical channel. ...
A mathematical theoretical study of a particular system of Caputo-Fabrizio fractional differential equations for the Rubella disease model

Baleanu, Dumitru; Mohammadi, Hakimeh; Rezapour, Shahram (2020-04-28)

In this paper, we study the rubella disease model with the Caputo-Fabrizio fractional derivative. The mathematical solution of the liver model is presented by a three-step Adams-Bashforth scheme. The existence and uniqueness ...
A Model to Assist the Maintenance vs. Replacement Decision in Information Systems

Pusatlı, Özgür Tolga; Regan, Brian (IGI Global, 2013-07-31)

An extensive literature review shows that Information Systems (IS) are changed and eventually replaced by substitutes under the influence of productivity, popularity, and specialisation of IS along with associated available ...
A modified analytical approach with existence and uniqueness for fractional Cauchy reaction-diffusion equations

Kumar, Sunil; Kumar, Amit; Abbas, Syed; Al Qurashi, Maysaa; Baleanu, Dumitru (2020-01-15)

This article mainly explores and applies a modified form of the analytical method, namely the homotopy analysis transform method (HATM) for solving time-fractional Cauchy reaction-diffusion equations (TFCRDEs). Then mainly ...
A Modified Generalized Laguerre-Gauss Collocation Method for Fractional Neutral Functional-Differential Equations on the Half-Line

Bhrawy, A. H.; Alzahrani, Abdulrahim A.; Baleanu, Dumitru; Alhamed, Yahia A. (Hindawi LTD, 2014)

The modified generalized Laguerre-Gauss collocation (MGLC) method is applied to obtain an approximate solution of fractional neutral functional-differential equations with proportional delays on the half-line. The proposed ...

Now showing items 21-40 of 861

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Browsing Matematik Bölümü Yayın Koleksiyonu by Author "Çankaya Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bölümü"

Browsing Matematik Bölümü Yayın Koleksiyonu by Author "Çankaya Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bölümü"

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