In this article, we use the p -Laplace decomposition method to find solution initial value problems that involve generalized fractional derivatives. The id="M2"><mi transform examine solutions given examples demon...

The functional effects of medications, such as those that slow down and calm the body, have been investigated for polarized diffusion coefficient based on subsequent increase through magnetism. This study examines generalized Mittag–Lefer kernel-based fractional derivatives in MHD Brinkman-type fluids under bioconvection contain hybrid titanium dioxide (TiO 2 ) silver (Ag) nanoparticles with wa...

The generalized diffusion equations with fractional order derivatives have shown be quite efficient to describe the diffusion in complex systems, with the advantage of producing exact expressions for the underlying diffusive properties. Recently, researchers have proposed different fractional-time operators (namely: the Caputo-Fabrizio and Atangana-Baleanu) which, differently from the well-know...

A scalar nonlinear impulsive differential equation with a delay and generalized proportional Caputo fractional derivatives (IDGFDE) is investigated. The linear boundary value problem (BVP) for the given set up. explicit form of unique solution BVP in special case obtained. This formula generalization without any as well derivatives. Furthermore, this integral used to define operator applied det...

We study the existence and uniqueness of solutions for coupled Langevin differential equations fractional order with multipoint boundary conditions involving generalized Liouville–Caputo derivatives. Furthermore, we discuss Ulam–Hyers stability in context problem at hand. The results are shown examples. Results asymmetric when a derivative (ρ) parameter is changed.

This study introduces some remarks on generalized fractional integral and differential operators, which generalize familiar derivative with respect to a given function. We briefly explain how formulate representations of operators. Then, mainly, we propose predictor–corrector algorithm for the numerical simulation initial value problems involving Caputo-type derivatives another Numerical soluti...

‎in this paper‎, ‎a spectral tau method for solving fractional riccati‎ ‎differential equations is considered‎. ‎this technique describes‎ ‎converting of a given fractional riccati differential equation to a‎ ‎system of nonlinear algebraic equations by using some simple‎ ‎matrices‎. ‎we use fractional derivatives in the caputo form‎. ‎convergence analysis of the proposed method is given an...

A physical-mathematical approach to anomalous diffusion is based on a generalized diffusion equation containing derivatives of fractional order. In this paper, an anomalous sub-diffusion equation (ASub-DE) is considered. A new implicit numerical method (INM) and two solution techniques for improving the order of convergence of the INM for solving the ASub-DE are proposed. The stability and conv...

In this paper strong dissipativity of generalized time-fractional derivatives on Gelfand triples properly in time weighted L p -path spaces is proved. particular, as special cases the classical Caputo derivative and other fractional appearing applications are included. As a consequence one obtains existence uniqueness solutions to evolution equations with derivatives. These type d t ( k ? u ) +...