Solving differential equations of fractional (ie, non-integer) order in an accurate, reliable and
efficient way is much more difficult than in the standard integer-order case; moreover, the …

Featured Application Fractional differential equations play a significant role in modeling
certain dynamical systems arising in many fields of applied sciences and engineering. In this …

Multiterm fractional differential equations (MTFDEs) nowadays represent a widely used tool
to model many important processes, particularly for multirate systems. Their numerical …

In this paper, we approximate the solution of fractional Bagley–Torvik equation by using the
exponential spline function and the shifted Grünwald difference operator. The proposed …

This study introduces a new method for modeling electrocardiogram (ECG) 1 waveforms
using Fractional Differential Equations (FDEs). By incorporating fractional calculus into the …

In this study, we present a numerical scheme similar to the Galerkin method in order to
obtain numerical solutions of the Bagley Torvik equation of fractional order 3/2. In this …

In this paper, we approximate the solution of fractional Painlevé and Bagley-Torvik
equations in the Conformable (Co), Caputo (C), and Caputo-Fabrizio (CF) fractional …

Orthogonal polynomials are the natural way to express the elements of the inner product
spaces as an infinite sum of orthonormal basis sets. The construction and development of …

This paper uses Müntz orthogonal functions to numerically solve the fractional Bagley–
Torvik equation with initial and boundary conditions. Müntz orthogonal functions are defined …

در این تحقیق به کمک یک تابع غیر چند جمله ای و عملگر گرانوالد جواب معادله کسری بگلی-
توریک را تقریب خواهیم زد. روش های ارائه شده یک سیستم از معادلات را نتیجه می دهد. سپس در ادامه …‎