In this work, we study the fractional order Lane-Emden differential equations by using the
reproducing kernel method. The exact solution is shown in the form of a series in the …

In this paper, a sinc-collocation method is described to determine the approximate solution
of fractional order boundary value problem (FBVP). The results obtained are presented as …

In this study, sinc-collocation method is introduced for solving Volterra-Fredholm
integrodifferential equations of fractional order. Fractional derivative is described in the …

In this article, we consider singular three-point second-order boundary value problems in the
sense of the Caputo fractional derivatives. We derive some novel results on the existence of …

An approximate method based on orthonormal Bernoulli's polynomials together with their
operational matrices is applied for solving fractional order differential equations of Lane …

A generalized non-local stress–strain gradient theory is presented using fractional calculus.
The proposed theory includes as a special case: the classical theory; the non-local strain …

The new theory (fractional parameter) makes the modeling more flexible. The model can
conclude all of the integer and non-integer operators and is not limited to the special …

Purpose Recently, a new formulation has been introduced for non-local mechanics in terms
of fractional calculus. Fractional calculus is a branch of mathematical analysis that studies …

In this paper we offer an approximate solution of a fractional order two-point boundary value
problem (FBVP). We use the reproducing kernel method (RKM) that has been employed for …

In this paper, our purpose is to present a wavelet Galerkin method for solving the time-
fractional KdV-Burgers-Kuramoto (KBK) equation, which describes nonlinear physical …