A mathematical model of the nutrient-phytoplankton-zooplankton associated with viral infection in phytoplankton under the Atangana-Baleanu derivative in Caputo sense is investigated in this study. We prove the theoretical ...

This research is concerned with a nonlinear p-Laplacian-type wave equation with a strong damping and logarithmic source term under the null Dirichlet boundary condition. We establish the global existence of the solutions ...

In this paper, we investigate the existence and Ulam–Hyers–Rassias stability results for a class of boundary value problems for implicit (Formula presented.) -Caputo fractional differential equations with non-instantaneous ...

Results reported in this paper establish the existence of solutions for a class of generalized fractional inclusions based on the Caputo-Hadamard jerk system. Under some inequalities between multi-functions and with the ...

We provide a detailed description of a numerical approach that makes use of the shifted Chebyshev polynomials of the sixth kind to approximate the solution of some fractional order differential equations. Specifically, we ...

This problem addresses the fractional order lag synchronization for multi-weighted complex dynamical networks with coupling delays via non-fragile control. Establishing a general multi-weighted complex network model including ...

In this article, we study the existence and uniqueness of multiple positive periodic solutions for a Gilpin-Ayala predator-prey model under consideration by applying asymptotically periodic functions. The result of this ...

This survey paper is devoted to succinctly reviewing the recent progress in the field of oscillation theory for linear and nonlinear fractional differential equations. The paper provides a fundamental background for all ...

In this paper, we establish the existence and stability results for the (rho(k),phi(k))-Hilfer fractional integro-differential equations under instantaneous impulse with non-local multi-point fractional integral boundary ...

We examine a class of nonlinear fractional Mathieu equations with a damping term. The equation is an important equation of mathematical physics as it has many applications in various fields of the physical sciences. By ...