2014
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4
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78
Existence and uniqueness of solutions for plaplacian fractional order boundary value problems
2
2
In this paper, we study sufficient conditions for existence and uniqueness of solutions of three point boundary vale problem for pLaplacian fractional order differential equations. We use Schauder's fixed point theorem for existence of solutions and concavity of the operator for uniqueness of solution. We include some examples to show the applicability of our results.
1

205
215


Rahmat
Ali Khan
Department of Mathematics, University of Malaknd at Chakdara Dir Lower, Khybar Pakhtunkhwa, Pakistan
Department of Mathematics, University of
Pakistan
rahmat_alipk@yahoo.com


Aziz
Khan
University of Peshawar, Pakistan
University of Peshawar, Pakistan
Pakistan
azizkhan927@yahoo.com
Fractional differential equations
Three point boundary conditions
Fixed point theorems
PLaplacian operator
The B"{a}cklund transformation method of Riccati equation to coupled Higgs field and Hamiltonian amplitude equations
2
2
In this paper, we establish new exact solutions for some complex nonlinear wave equations. The B"{a}cklund transformation method of Riccati equation is used to construct exact solutions of the Hamiltonian amplitude equation and the coupled Higgs field equation. This method presents a wide applicability to handling nonlinear wave equations. These equations play a very important role in mathematical physics and engineering sciences. Obtained solutions may also be important of significance for the explanation of some practical physical problems.
1

216
226


Ahmad Hasan
Arnous
Department of Engineering Mathematics and Physics, Higher Institute of Engineering, El Shorouk, Cairo, Egypt
Department of Engineering Mathematics and
Egypt
ahmed.h.arnous@gmail.com


Mohammad
Mirzazadeh
Department of Mathematics, Faculty of Mathematical Sciences, University of Guilan, Rasht, Iran
Department of Mathematics, Faculty of Mathematical
I. R. Iran
mirzazadehs2@guilan.ac.ir


Mostafa
Eslami
Department of Mathematics,
Faculty of Mathematical Sciences,
University of Mazandaran, Babolsar, Iran
Department of Mathematics,
Faculty of Mathematical
I. R. Iran
mostafa.eslami@umz.ac.ir
Complex nonlinear wave equations
exact solutions
B"{a}cklund transformation method of Riccati equation
Topological soliton solutions of the some nonlinear partial differential equations
2
2
In this paper, we obtained the 1soliton solutions of the symmetric regularized long wave (SRLW) equation and the (3+1)dimensional shallow water wave equations. Solitary wave ansatz method is used to carry out the integration of the equations and obtain topological soliton solutions The physical parameters in the soliton solutions are obtained as functions of the dependent coefficients. Note that, this method is always useful and desirable to construct exact solutions especially solitontype envelope for the understanding of most nonlinear physical phenomena.
1

227
242


Ozkan
Guner
Cankiri Karatekin University, Faculty of Economics and Administrative Sciences,
Department of International Trade, CankiriTURKEY
Cankiri Karatekin University, Faculty of
Turkey
ozkanguner@karatekin.edu.tr
Exact solution
topological soliton solution
the (3+1)dimensional shallow water wave equation
the symmetric regularized long wave (SRLW) equation
Generalized Bspline functions method for solving optimal control problems
2
2
In this paper we introduce a numerical approach that solves optimal control problems (OCPs) using collocation methods. This approach is based upon Bspline functions. The derivative matrices between any two families of Bspline functions are utilized to reduce the solution of OCPs to the solution of nonlinear optimization problems. Numerical experiments confirm our heoretical findings.
1

243
255


Yousef
Edrisi Tabriz
Department of Mathematics,
Payame Noor University,
PO BOX 193953697, Tehran, Iran
Department of Mathematics,
Payame Noor University,
I. R. Iran
yedrisy@gmail.com


Aghileh
Heydari
Department of Mathematics,
Payame Noor University,
PO BOX 193953697, Tehran, Iran
Department of Mathematics,
Payame Noor University,
I. R. Iran
a_heidari@pnu.ac.ir
Optimal control problem
Bspline functions
Derivative matrix
Collocation method
Positivitypreserving nonstandard finite difference Schemes for simulation of advectiondiffusion reaction equations
2
2
Systems in which reaction terms are coupled to diffusion and advection transports arise in a wide range of chemical engineering applications, physics, biology and environmental. In these cases, the components of the unknown can denote concentrations or population sizes which represent quantities and they need to remain positive. Classical finite difference schemes may produce numerical drawbacks such as spurious oscillations and negative solutions because of truncation errors and may then become unstable. we propose a new scheme that guarantees a smooth numerical solution, free of spurious oscillations and satisfies the positivity requirement, as is demanded for the advectiondiffusion reaction equations. The method is applicable to both advection and diffusion dominated problems. We give some examples from different applications.
1

256
267


Mohammad
Mehdizadeh Khalsaraei
Faculty of Mathematical Science, University of Maragheh, Maragheh, Iran
Faculty of Mathematical Science, University
I. R. Iran
muhammad.mehdizadeh@gmail.com


Reza
Shokri Jahandizi
Faculty of Mathematical Science, University of Maragheh, Maragheh, Iran
Faculty of Mathematical Science, University
I. R. Iran
reza.shokri.j@gmail.com
Nonstandard finite differences
positivity
Advectiondiffusion reaction equation
Mmatrix
Fractional type of flatlet oblique multiwavelet for solving fractional differential and integrodifferential equations
2
2
The construction of fractional type of flatlet biorthogonal multiwavelet system is investigated in this paper. We apply this system as basis functions to solve the fractional differential and integrodifferential equations. Biorthogonality and high vanishing moments of this system are two major properties which lead to the good approximation for the solutions of the given problems. Some test problems are discussed at the end of paper to show the efficiency of the proposed method.
1

268
282


Mohammadreza
Ahmadi Darani
Faculty of mathematical Sciences,
Shahrekord University, P. O. Box 115, Shahrekord, Iran.
Faculty of mathematical Sciences,
Shahrekord
I. R. Iran
ahmadi.darani@sci.sku.ac.ir


Shirin
Bagheri
Faculty of Basic Sciences, Islamic Azad University, Science and Research Branch,
P. O. Box 14515/775, Tehran, Iran.
Faculty of Basic Sciences, Islamic Azad University
I. R. Iran
shirinbagheri55@yahoo.com
Integrodifferential equations
fractional type of flatlet oblique multiwavelets
biorthogonal flatlet multiwavelet system