Abstract In this paper, we aim to analyze the complicated dynamical motion of a quarter-car suspension system with sinusoidal road excitation force. First, consider new mathematical model in form fractional-order differential equations. proposed model, apply Caputo–Fabrizio fractional operator exponential kernel. Then solve related equations, suggest quadratic numerical method and prove its stability convergence. A deep investigation framework time-domain response phase-portrait shows that...

This paper presents a modified numerical scheme for class of fractional optimal control problems where derivative (FD) is defined in the Riemann—Liouville sense. In this scheme, entire time domain divided into several sub-domains, and FD at node point approximated using Grünwald—Letnikov approach. For first-order derivative, proposed Grünwald— Letnikov definition leads to central difference scheme. When approximations are substituted equations, it set algebraic equations which solved direct...

In many applications, fractional derivatives provide better descriptions of the behavior dynamic systems than other techniques. For this reason, calculus has been used to analyze having noninteger order dynamics and solve optimal control problems. study, we describe a formulation for problems defined in multi-dimensions. We consider case where dimensions state variables are different from each other. Riemann—Liouville formulate problem. The differential equations involving solved using...

Target-environment networks provide a conceptual framework for the analysis and prediction of complex regulatory systems such as genetic networks, eco-finance or sensor-target assignments. These evolving consist two major groups entities that are interacting by unknown relationships. The structure dynamics hidden system have to be revealed from uncertain measurement data. In this paper, concept fuzzy target-environment is introduced various possibilistic regression models presented. relation...

In this paper, we aim to study the dynamical behaviour of motion for a simple pendulum with mass decreasing exponentially in time. To examine interesting system, firstly obtain classical Lagrangian and Euler-Lagrange equation accordingly. Later, generalized is constructed via non-integer order derivative operators. The corresponding derived, calculated approximate results are simulated respect different orders. Simulation show that time-dependent exhibits behaviours, such as oscillatory...

A dengue epidemic model with fractional order derivative is formulated to investigate the effect of temperature on spread vector-host transmitted disease. The consists system differential equations within Caputo operator. stability equilibrium points considered studied. corresponding basic reproduction number R_0 derived and it proved that if < 1, disease-free (DFE) locally asymptotically stable. L1 method applied solve numerically. Finally, numerical simulations are also presented...

This work studies the nonlinear fractional dynamics of asymmetric harmonic oscillators. The classical description physical system is generalized using principles variational analysis. As a two-coupled differential equations with quadratic component, Euler–Lagrange motion corresponding are obtained. Adams–Bashforth predictor-corrector numerical approach used to approximate system’s outcomes, which then simulated comparatively respect various model parameter values, including mass, linear and...

In this paper, we have proposed the efficient numerical methods to solve a tumor-obesity model which involves two types of fractional operators namely Caputo and Caputo-Fabrizio (CF). Stability convergence schemes using CF are analyzed. Numerical simulations carried out investigate effect low high caloric diet on tumor dynamics generalized models. We perform for different order by varying immune response rate compare operators.

This study presents a novel fractional order grey model FGM ([Formula: see text],1) obtained by extending the (GM (1,1)). For this, we generalize whitenization first-order differential equation to using Caputo derivative of [Formula: text]. A real-world case study, scrutinize economic growth influence on environmental degradation in Turkey, is performed evaluate significance projected contrast current classical GM. We apply autoregressive distributed lags bounds testing co-integration...

<title>Abstract</title> Cattle are susceptible to an infectious condition called lumpy skin disease (LSD). The has caused a drop in dairy products and, occasionally, the death of sick cattle, damaging economies affected countries. Thus, mathematical model is required aid disease's optimal eradication. To address this, we offer novel that helps comprehend transmission patterns and provides recommendations for best ways manage illness. We verify solutions bounded positive by looking at...

<title>Abstract</title> The full text of this preprint has been withdrawn by the authors due to author disagreement with posting preprint. Therefore, do not wish work be cited as a reference. Questions should directed corresponding author.