Browsing by Author "El-Sayed, Ahmed M. A."

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Citation - WoS: 33
Citation - Scopus: 37
On the fractional-order diffusion-wave process
(Editura Acad Romane, 2010) Herzallah, Mohamed A. E.; Baleanu, Dumitru; El-Sayed, Ahmed M. A.; Baleanu, Dumtru; Matematik
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 the diffusion wave process in all its cases, and give some examples discussing these different cases.
Citation - WoS: 2
Perturbation for fractional-order evolution equation
(Springer, 2010) Herzallah, Mohamed A. E.; Baleanu, Dumitru; El-Sayed, Ahmed M. A.; Baleanu, Dumitru; Matematik
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 a new kind of perturbation of the order of the fractional derivative with a study of the existence and uniqueness of the perturbed fractional-order evolution equation for CD)+alpha-epsilon u(t) = A (C)D(0+)(delta)u(t) + f(t), u(0) = u(o), alpha is an element of (0, 1), and 0 <= epsilon, delta < alpha under the assumption that A is the generator of a bounded C-o-semigroup. The continuation of our solution in some different cases for alpha, epsilon and delta is discussed, as well as the importance of the obtained results is specified.