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Browsing by Author "Jafari, Hossein"

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A fixed point theorem on multiplicative metric space with integral-type inequality

Khan, Aziz; Khan, Hasib; Baleanu, Dumitru; Jafari, Hossein; Khan, Tahir Saeed; Alqurashi, Maysaa (Journal Mathematics & Computer Science-Jmcs, 2018)

In this paper, we prove fixed point theorems (FPTs) on multiplicative metric space (MMS) (X, triangle) by the help of integral-type contractions of self-quadruple mappings (SQMs), i.e., for p(1), p(2), p(3), p(4) : X -> ...
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 modified variational iteration method for solving fractional riccati differential equation by Adomian polynomials

Jafari, Hossein; Tajadodi, Haleh; Baleanu, Dumitru (Walter De Gruyter GMBH, 2013-03)

In this paper, we introduce a modified variational iteration method (MVIM) for solving Riccati differential equations. Also the fractional Riccati differential equation is solved by variational iteration method with ...
A numerical approach for fractional order Riccati differential equation using b-spline operational matrix

Jafari, Hossein; Tajadodi, Haleh; Baleanu, Dumitru (Walter De Gruyter GMBH, 2015-04)

In this article, we develop an effective numerical method to achieve the numerical solutions of nonlinear fractional Riccati differential equations. We found the operational matrix within the linear B-spline functions. By ...
A numerical approach for solving fractional optimal control problems with mittag-leffler kernel

Jafari, Hossein; Ganji, Roghayeh M.; Sayevand, Khosro; Baleanu, Dumitru (2021-05)

In this work, we present a numerical approach based on the shifted Legendre polynomials for solving a class of fractional optimal control problems. The derivative is described in the Atangana-Baleanu derivative sense. To ...
Analysis of Riccati differential equations within a new fractional derivative without singular kernel

Jafari, Hossein; Lia, Atena; Tejadodi, Haleh; Baleanu, Dumitru (IOS Press, 2017)

Recently Caputo and Fabrizio suggested new definition of fractional derivative that the new kernel has no singularity. In this paper, an analytical method for solving Riccati differential equation with a new fractional ...
Damped Wave Equation and Dissipative Wave Equation In Fractal Strings Within the Local Fractional Variational Iteration Method

Su, Wei-Hua; Baleanu, Dumitru; Yang, Xiao-Jun; Jafari, Hossein (Springer International Publishing AG, 2013)

In this paper, the local fractional variational iteration method is given to handle the damped wave equation and dissipative wave equation in fractal strings. The approximation solutions show that the methodology of local ...
Exact Solutions of Two Nonlinear Partial Differential Equations By Using The First Integral Method

Jafari, Hossein; Soltani, Rahmat; Khalique, Chaudry Masood; Baleanu, Dumitru (Springer Open, 2013-05-07)

In recent years, many approaches have been utilized for finding the exact solutions of nonlinear partial differential equations. One such method is known as the first integral method and was proposed by Feng. In this paper, ...
Existence criterion for the solutions of fractional order p-Laplacian boundary value problems

Jafari, Hossein; Baleanu, Dumitru; Khan, Hasib; Khan, Rahmat Ali; Khan, Aziz (Springer International Publishing, 2015-09-17)

The existence criterion has been extensively studied for different classes in fractional differential equations (FDEs) through different mathematical methods. The class of fractional order boundary value problems (FOBVPs) ...
Fractional calculus for modeling unconfined groundwater

Jafari, Hossein; Mehdinejadiani, Behrouz; Baleanu, Dumitru (2019-01-01)

The porous medium which groundwater flows in is heterogeneous at all scales. This complicates the simulation of groundwater flow. Fractional derivatives, because of their non-locality property, can reduce the scale effects ...
Fractional Lie group method of the time-fractional Boussinesq equation

Jafari, Hossein; Kadkhoda, Nematollah; Baleanu, Dumitru (Springer, 2015-08)

Finding the symmetries of the nonlinear fractional differential equations is a topic which has many applications in various fields of science and engineering. In this manuscript, firstly, we are interested in finding the ...
Fractional Sub-Equation Method For The Fractional Generalized Reaction Duffing Model and Nonlinear Fractional Sharma-Tasso-Olver Equation

Jafari, Hossein; Tajadodi, Haleh; Baleanu, Dumitru; Al-Zahrani, Abdulrahim A.; Alhamed, Yahia A.; Zahid, Adnan H. (De Gruyter Poland SP Zoo, 2013-10)

In this paper the fractional sub-equation method is used to construct exact solutions of the fractional generalized reaction Duffing model and nonlinear fractional Sharma-Tasso-Olver equation.The fractional derivative is ...
Fractional Subequation Method for Cahn-Hilliard and Klein-Gordon Equations

Jafari, Hossein; Tajadodi, Haleh; Kadkhoda, Nematollah; Baleanu, Dumitru (Hindawi LTD, 2013)

The fractional subequation method is applied to solve Cahn-Hilliard and Klein-Gordon equations of fractional order. The accuracy and efficiency of the scheme are discussed for these illustrative examples.
Homotopy Analysis Method For Solving Abel Differential Equation of Fractional Order

Jafari, Hossein; Sayevand, Khosro; Tajadodi, Haleh; Baleanu, Dumitru (Sciendo, 2013-10)

In this study, the homotopy analysis method is used for solving the Abel differential equation with fractional order within the Caputo sense. Stabilityand convergence of the proposed approach is investigated. The numerical ...
Laplace homotopy perturbation method for Burgers equation with space- and time-fractional order

Johnston, S. J.; Jafari, Hossein; Moshokoa, S. P.; Ariyan, Vernon; Baleanu, Dumitru (De Gruyter Open LTD, 2016-01)

The fractional Burgers equation describes the physical processes of unidirectional propagation of weakly nonlinear acoustic waves through a gas-filled pipe. The Laplace homotopy perturbation method is discussed to obtain ...
More efficient estimates via ℏ-discrete fractional calculus theory and applications

Rashid, Saima; Sultana, Sobia; Jarad, Fahd; Jafari, Hossein; Hamed, Y.S. (2021-06)

Discrete fractional calculus (DFC) is continuously spreading in the engineering practice, neural networks, chaotic maps, and image encryption, which is appropriately assumed for discrete-time modelling in continuum problems. ...
NUMERICAL INVESTIGATION OF SPACE FRACTIONAL ORDER DIFFUSION EQUATION BY THE CHEBYSHEV COLLOCATION METHOD OF THE FOURTH KIND AND COMPACT FINITE DIFFERENCE SCHEME

Aghdam, Yones Esmaeelzade; Safdari, Hamid; Azari, Yaqub; Jafari, Hossein; Baleanu, Dumitru (2021-07-01)

This paper develops a numerical scheme for finding the approximate solution of space fractional order of the diffusion equation (SFODE). Firstly, the compact finite difference (CFD) with convergence order O(delta tau 2) ...
On A Numerical Solution For Fractional Differential Equation Within B-Spline Operational Matrix

Jafari, Hossein; Tajadodi, Haleh; Baleanu, Dumitru (IEEE, 2014)

In our manuscript we suggest an approach to obtain the solutions of the fractional differential equations(FDEs). We found the operational matrix within the linear B-spline functions. In this way the investigated equations ...
On comparison between iterative methods for solving nonlinear optimal control problems

Jafari, Hossein; Ghasempour, Saber; Baleanu, Dumitru (Sage Publications LTD, 2016-05)

Recently some semi-analytical methods have been introduced for solving a class of nonlinear optimal control problems such as the Adomian decomposition method, homotopy perturbation method and modified variational iteration ...
On existence results for solutions of a coupled system of hybrid boundary value problems with hybrid conditions

Baleanu, Dumitru; Khan, Hasib; Jafari, Hossein; Khan, Rahmat Ali; Alipour, Mohsen (Springer International Publishing, 2015-10-15)

We investigate sufficient conditions for existence and uniqueness of solutions for a coupled system of fractional order hybrid differential equations (HDEs) with multi-point hybrid boundary conditions given by D-omeg ...

Now showing items 1-20 of 37

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