Herzallah, Mohamed A. E.Baleanu, DumitruEl-Sayed, Ahmed M. A.Baleanu, DumitruMatematik2016-06-082016-06-082010Herzallah, M.A.E., El-Sayed, A.M.A., Baleanu, D. (2010). Perturbation for fractional-order evolution equation. Nonlinear Dynamics, 62(3), 593-600. http://dx.doi.org/10.1007/s11071-010-9746-y0924-090X1573-269Xhttps://doi.org/10.1007/s11071-010-9746-yEl-Sayed, Ahmed/0000-0001-7092-7950; Herzallah, Mohamed/0000-0003-3514-3709Fractional 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.eninfo:eu-repo/semantics/closedAccessEvolution EquationEvolutionary Integral EquationFractional Order DerivativePerturbation ProblemArticle62359360010.1007/s11071-010-9746-yWOS:000283099000010Q1Q1