Discrete fractional calculus (𝒟 ℱ 𝒞) is significant for neural networks, complex dynamic
systems and frequency response analysis approaches. In contrast with the continuous-time …

In the present work, we find the series solution for the system of fractional differential
equations describing the atmospheric dynamics of carbon dioxide (CO 2) gas using the q …

This study explores some significant consequences of discrete ℏ ̂-proportional fractional
sums (D ℏ ̂ PF s) having an exponential function as a nonlocal kernel. Certain novel …

The stomach is usually considered as a hollow muscular sac, which initiates the second
segment of digestion. It is the most sophisticated endocrine structure having unique …

In this paper, we present a generalized Jensen-type inequality for generalized harmonically
convex function on the fractal sets, and a generalized Jensen–Mercer inequality involving …

The motive of these investigations is to present the numerical performances of the fractional
order mathematical influenza disease model (FO-MIDM) by designing the computational …

In this article, the optimal auxiliary function method (OAFM) is extended to general partial
differential equations (PDEs). Our proposed method is highly efficient and provides the …

The design of integrated intelligent computing solver with Morlet wavelet neural networks
(MW-NNs) is presented for solving the mathematical predator–prey model by exploiting the …

The present study is related to solve the nonlinear dynamics of a smoke model using
artificial neural networks (ANNs) under the optimization procedures of global heuristic and …

Usage of the Internet has grown exponentially in the last two decades. Among the most
likely to benefit from this are social networking sites (SNSs), which have become a staple of …