Motivated essentially by the success of the applications of the Mittag‐Leffler functions in
many areas of science and engineering, the authors present, in a unified manner, a detailed …

The homotopy perturbation method is a semi-analytical method for solving linear and
nonlinear ordinary/partial differential equations. Since it is extremely difficult to find exact …

Kee** the style, content, and focus that made the first edition a bestseller, Integral
Transforms and their Applications, Second Edition stresses the development of analytical …

" An exceptionally complete overview. There are numerous examples and the emphasis is
on applications to almost all areas of science and engineering. There is truly something for …

In this work, we introduce ABC-Caputo operator with ML kernel and its main characteristics
are discussed. Viral diseases models for AIDS and Zika are considered, and finally, as third …

Variational iteration method has been used to handle linear and nonlinear differential
equations. The main property of the method lies in its flexibility and ability to solve nonlinear …

In this Letter, we implement relatively new analytical techniques, the variational iteration
method and the Adomian decomposition method, for solving linear fractional partial …

In this article, the homotopy perturbation method proposed by J.-H. He is adopted for solving
linear fractional partial differential equations. The fractional derivatives are described in the …

This paper applies the variational iteration method to obtaining analytical solutions of
fractional heat-and wave-like equations with variable coefficients. Comparison with the …

The foundation of the concepts of fuzzy fractional integral and Caputo gH-partial for fuzzy-
valued multivariable functions is defined. As a result, fuzzy fractional partial differential …