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14.494  Articles
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In this paper, long memory behavior of the energy consumption by source of the United States has been examined using the fractional integration technique for the three conventional cases of no regressors, an intercept, and an intercept and a linear trend.... see more

In this paper, we apply generalized operators of fractional integration involving Appell’s function F_3 (.) due to Marichev-Saigo-Maeda, to the Bessel function of first kind. The results are expressed in terms of generalized Wright function and hypergeome... see more

In this paper, we solve a class of fractional variational problems (FVPs) by using operational matrix of fractional integration which derived from second order spline (B-spline) basis function. The fractional derivative is defined in the Caputo and Rieman... see more

After the widespread adoption of flexible exchange rate regime since 1973, the volatility of the exchange rate has increased, as a consequence of greater trade openness and financial integration among countries. Thus, it has become difficult to find concr... see more

A significantly large number of earlier works on the subject of fractional calculus give interesting account of the theory and applications of fractional calculus operators in many different areas of mathematical analysis (such as ordinary and partial dif... see more

In this work, we extended the work of Sheen et al., 2003 for the numerical solution of multi-term fractional order linear differential equations by an integral representation in the complex plane. The resultant integral is approximated to high o... see more

Operational analogues of integral-differential operators of variable fractional order in the S-transform are proposed. The examples of application of operational matrices of integration with variable fractional order to integrate different signals and sol... see more

A significantly large number of earlier works on the subject of fractional calculus give interesting account of the theory and applications of fractional calculus operators in many different areas of mathematical analysis (such as ordinary and partial dif... see more

Lie point symmetries of time fractional potential Burgers' equation are presented. Using these symmetries fractional potential Burgers' equation has been transformed into an ordinary differential equation of fractional order corresponding to the Erdelyi-K... see more

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