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Citation - WoS: 45
Citation - Scopus: 48
Laplace Homotopy Perturbation Method for Burgers Equation With Space- and Time-Fractional Order
(Sciendo, 2016) Jafari, H.; Moshokoa, S. P.; Ariyan, V. M.; Baleanu, D.; Johnston, S. J.
The fractional Burgers equation describes the physical processes of unidirectional propagation of weakly nonlinear acoustic waves through a gas-filled pipe. The Laplace homotopy perturbation method is discussed to obtain the approximate analytical solution of space-fractional and time-fractional Burgers equations. The method used combines the Laplace transform and the homotopy perturbation method. Numerical results show that the approach is easy to implement and accurate when applied to partial differential equations of fractional orders.
Citation - WoS: 14
Citation - Scopus: 14
Exact Controllability of Fractional Neutral Integro-Differential Systems With State-Dependent Delay in Banach Spaces
(Sciendo, 2016) Arjunan, M. Mallika; Kailasavalli, S.; Baleanu, D.; Suganya, S.; Kalamani, Palaniyappan
In this manuscript, we have a tendency to execute Banach contraction fixed point theorem combined with resolvent operator to analyze the exact controllability results for fractional neutral integrodifferential systems (FNIDS) with state-dependent delay (SDD) in Banach spaces. An illustration is additionally offered to exhibit the achieved hypotheses.

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