In this study, a fractional Bernstein series solution method has been submitted to solve the fractional-order biological population model with one carrying capacity. The numerical implemented by an effective algorithm written on computer algebraic system Maple 15. An error-bound analysis is performed using process similar RK45 method. error estimation technique relating residual function presen...

The Sumudu decomposition method was used and developed in this paper to find approximate solutions for a general form of fractional integro-differential equation Volterra Fredholm types. Caputo definition deal with derivatives. As the under consideration depends mainly on writing non-linear terms, which are often found inside kernel integral equation, it Adomian’s polynomials well-known way. Af...

Abstract Nonlocal operators with different kernels were used here to obtain more general harmonic oscillator models. Power law, exponential decay, and the generalized Mittag-Leffler Delta-Dirac property have been utilized in this process. The aim of study was introduce into damped model nonlocalities associated these mentioned see effect each one them when computing Bode diagram obtained from L...