A new fractional q-order variation of the RothC model for dynamics soil organic carbon is introduced. computational method based on discretization analytic solution along with finite-difference technique are suggested and stability results latter given. The accuracy scheme, in terms temporal step size h, confirmed through numerical testing a constructed solution. effectiveness proposed discrete...

Every infinitely divisible law defines a convolution semigroup that solves an abstract Cauchy problem. In the fractional Cauchy problem, we replace the first order time derivative by a fractional derivative. Solutions to fractional Cauchy problems are obtained by subordinating the solution to the original Cauchy problem. Fractional Cauchy problems are useful in physics to model anomalous diffus...

Quadrotor systems are becoming increasingly popular in various applications due to their maneuverability and versatility. Controlling these accurately is crucial ensure stability safety. This research paper proposes the implementation of two advanced controllers with integer fractional order quadrotor systems. The purpose study enhance control performance, robustness, accuracy system, highlight...

We propose a new approach for solving fractional partial differential equations based on a nonlinear fractional complex transformation and the general Riccati equation and apply it to solve the nonlinear time fractional biological population model and the (4+1)-dimensional space-time fractional Fokas equation. As a result, some new exact solutions for them are obtained.This approach can be suit...