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Citation - WoS: 35
Citation - Scopus: 33
Numerical Solutions of the Initial Value Problem for Fractional Differential Equations by Modification of the Adomian Decomposition Method
(de Gruyter Open Ltd, 2014) Vaezpour, S. Mansour; Baleanu, Dumitru; Khodabakhshi, Neda; Mansour Vaezpour, S.
In this paper, we extend a reliable modification of the Adomian decomposition method presented in [34] for solving initial value problem for fractional differential equations. In order to confirm the applicability and the advantages of our approach, we consider some illustrative examples.
Citation - WoS: 11
Citation - Scopus: 15
Fixed Points for Cyclic Orbital Generalized Contractions on Complete Metric Spaces
(de Gruyter Open Ltd, 2013) Tas, Kenan; Karapinar, Erdal; Romaguera, Salvador
We prove a fixed point theorem for cyclic orbital generalized contractions on complete metric spaces from which we deduce, among other results, generalized cyclic versions of the celebrated Boyd and Wong fixed point theorem, and Matkowski fixed point theorem. This is done by adapting to the cyclic framework a condition of Meir-Keeler type discussed in [Jachymski J., Equivalent conditions and the Meir-Keeler type theorems, J. Math. Anal. Appl., 1995, 194(1), 293-303]. Our results generalize some theorems of Kirk, Srinavasan and Veeramani, and of Karpagam and Agrawal.

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