Freelance Model with Atangana–Baleanu Caputo Fractional Derivative

Abstract

As technology advances and the Internet makes our world a global village, it is important to understand the prospective career of freelancing. A novel symmetric fractional mathematical model is introduced in this study to describe the competitive market of freelancing and the significance of information in its acceptance. In this study, fixed point theory is applied to analyze the uniqueness and existence of the fractional freelance model. Its numerical solution is derived using the fractional Euler’s method, and each case has been presented graphically as well as tabular. Further, the results have been compared with the classic freelance model and real data to show the importance of this model.

Integrating freelance models with fractional derivatives, and artificial neural networks: A comprehensive approach to advanced computation

“…developed the Gudermannian neural network for solving the nonlinear multi-Pantograph delay differential equation [ 11 ]. solved the epidemic breathing transmission system using neural networks [ 12 ]. used the Heuristic computing approach for solving the hepatitis B virus model with sequential quadratic programming [ 13 ].…”

Fractional Order Mathematical Modelling of HFMD Transmission via Caputo Derivative

“…In order to solve systems of differential equations of both integer and non-integer orders resulting from real-life issues, such as applications related to integrodifferential equations [17,18], mathematical epidemiology [19,20], and economic and financial [21,22], new discoveries have resulted from advances in constructing new fractional order operators, especially Caputo, Atangana-Baleanu, and Caputo-Fabrizio. A fractional order model is proposed to describe the competitive market of freelancing and its significance using the Atangana-Baleanu-Caputo type [23]. A fractional model of the within-host dynamics of SARS-CoV-2 is presented in [24] using the Caputo fractional order operator.…”

New Results on the Solvability of Abstract Sequential Caputo Fractional Differential Equations with a Resolvent-Operator Approach and Applications

“…Fractional calculus is a more advanced version of traditional calculus and has a wider range of applications. It has been particularly useful in areas such as signal processing, chemistry, biology, control theory, physics, economic systems and mechanics [1][2][3][4][5][6][7].…”