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Browsing by Author "Herzallah, Mohamed A. E."

Browsing by Author "Herzallah, Mohamed A. E."

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  • Existence of A Periodic Mild Solution for A Nonlinear Fractional Differential Equation 
    Herzallah, Mohamed A. E.; Baleanu, Dumitru (Pergamon-Elsevier Science LTD, 2012-11)
    The aim of this manuscript is to analyze the existence of a periodic mild solution to the problem of the following nonlinear fractional differential equation (R)(0)D(t)(alpha)u(t) - lambda u(t) = f(t, u(t)), u(0) = u(1) ...
  • Fractional Euler-Lagrange equations revisited 
    Herzallah, Mohamed A. E.; Baleanu, Dumitru (Springer, 2012-08)
    This paper presents the necessary and sufficient optimality conditions for the Euler-Lagrange fractional equations of fractional variational problems with determining in which spaces the functional must exist where the ...
  • Fractional-order Euler-Lagrange equations and formulation of Hamiltonian equations 
    Herzallah, Mohamed A. E.; Baleanu, Dumitru (Springer, 2009-10)
    This paper presents the fractional order Euler-Lagrange equations and the transversality conditions for fractional variational problems with fractional integral and fractional derivatives defined in the sense of Caputo and ...
  • Fractional-order variational calculus with generalized boundary conditions 
    Herzallah, Mohamed A. E.; Baleanu, Dumitru (Springer International Publishing, 2011)
    This paper presents the necessary and sufficient optimality conditions for fractional variational problems involving the right and the left fractional integrals and fractional derivatives defined in the sense of Riemman-Liouville ...
  • Hamilton-Jacobi and fractional like action with time scaling 
    Herzallah, Mohamed A. E.; Muslih, Sami I.; Baleanu, Dumitru; Rabei, Eqab M. (Springer, 2011-12)
    This paper represents the Hamilton-Jacobi formulation for fractional variational problem with fractional like action written as an integration over a time scaling parameter. Also we developed the fractional Hamiltonian ...
  • Mild and strong solutions for a fractional nonlinear neumann boundary value problem 
    Herzallah, Mohamed A. E.; El-Shahed, Moustafa; Baleanu, Dumitru (2013)
    In this paper, we investigated the following fractional Neumann boundary value problem CDα0+u(t)-λu(t) = f(t; u(t)); u'(0) = u'(1) = 0; 1 < α < 2, λ= 0; where CDαa+ is the fractional Caputo derivative. We proved the existence ...
  • On abstract fractional order telegraph equation 
    Herzallah, Mohamed A. E.; Baleanu, Dumitru (Asme-Amer Soc Mechanical Engineering, 2010-04)
    During the last decades, there has been a great deal of interest in fractional differential equations and their applications in various fields of science and engineering. In this paper, we give a new model of the abstract ...
  • On Fractional Order Hybrid Differential Equations 
    Herzallah, Mohamed A. E.; Baleanu, Dumitru (Hindawi LTD, 2014)
    We develop the theory of fractional hybrid differential equations with linear and nonlinear perturbations involving the Caputo fractional derivative of order 0 < alpha < 1. Using some fixed point theorems we prove the ...
  • On fractional order hybrid differential equations 
    Herzallah, Mohamed A. E.; Baleanu, Dumitru (2014)
    We develop the theory of fractional hybrid differential equations with linear and nonlinear perturbations involving the Caputo fractional derivative of order 0 << 1. Using some fixed point theorems we prove the existence ...
  • On the fractional-order diffusion-wave process 
    Herzallah, Mohamed A. E.; El-Sayed, Ahmed M. A.; Baleanu, Dumitru (Editura Academiei Romane, 2010)
    One of the main applications of the fractional calculus, integration and differentiation of arbitrary orders is the modelling of the intermediate physical processes. Here we formulate a more general model which represents ...
  • Perturbation for fractional-order evolution equation 
    Herzallah, Mohamed A. E.; El-Sayed, Ahmed M. A.; Baleanu, Dumitru (Springer, 2010-11)
    Fractional calculus has gained a lot of importance during the last decades, mainly because it has become a powerful tool in modeling several complex phenomena from various areas of science and engineering. This paper gives ...