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The Use of Fractional Order Derivative to Predict the Groundwater Flow
(2013)
The aim of this work was to convert the Thiem and the Theis groundwater flow equation to the time-fractional groundwater flow model. We first derived the analytical solution of the Theim time-fractional groundwater flow ...
Approximate Solution of Tuberculosis Disease Population Dynamics Model
(2013)
We examine possible approximate solutions of both integer and noninteger systems of nonlinear differential equations describing tuberculosis disease population dynamics. The approximate solutions are obtained via the ...
Existence and Numerical Solution of the Volterra Fractional Integral Equations of the Second Kind
(2013)
This work presents the possible generalization of the Volterra integral equation second kind to the concept of fractional integral. Using the Picard method, we present the existence and the uniqueness of the solution of ...