The main idea of this study is to obtain the soliton-type solutions conformable time-fractional complex Ginzburg–Landau equation with Kerr law nonlinearity. For aim, generalized and modified Kudryashov methods are applied given model. reason for using a derivative that chain rule can be derivative. Thus, suitable wave transform, converted into an ordinary differential equation. Then, proposed r...

A universal approach by Laplace transform to the variational iteration method for fractional derivatives with the nonsingular kernel is presented; in particular, the Caputo-Fabrizio fractional derivative and the Atangana-Baleanu fractional derivative with the non-singular kernel is considered. The analysis elaborated for both non-singular kernel derivatives is shown the necessity of considering...

Conformable space-time fractional linear telegraph equations are examined using a new method known as conformable Elzaki decomposition method. The suggested combines the Adomian with transform. It is found that numerical simulations confirm effectiveness and reliability of proposed

In organisms’ bodies, the activities of enzymes can be catalyzed or inhibited by some inorganic and organic compounds. The interaction between these compounds is successfully described mathematics. main purpose this article to investigate dynamics activator–inhibitor system (Gierer–Meinhardt system), which utilized describe interactions chemical biological phenomena. considered with a fractiona...

In this study, we take into account the fractional stochastic Kraenkel–Manna–Merle system (FSKMMS). The mapping approach may be used to produce various type of solutions, such as elliptic, hyperbolic, and trigonometric functions. Solutions equation, which explains propagation a magnetic field in zero-conductivity ferromagnet, provide insight variety fascinating scientific phenomena. Moreover, c...

the purpose of this paper is to study the fuzzy fractional differentialequations. we prove that fuzzy fractional differential equation isequivalent to the fuzzy integral equation and then using this equivalenceexistence and uniqueness result is establish. fuzzy derivative is considerin the goetschel-voxman sense and fractional derivative is consider in theriemann liouville sense. at the end, we...

in this paper, we apply the local fractional adomian decomposition and variational iteration methods to obtain the analytic approximate solutions of fredholm integral equations of the second kind within local fractional derivative operators. the iteration procedure is based on local fractional derivative. the obtained results reveal that the proposed methods are very efficient and simple tools ...

Fractional derivative and integral operators are often employed to present new generalizations of mathematical inequalities. The introduction fractional has prompted another direction in different branches mathematics applied sciences. First, we investigate prove equality. Considering this equality as the auxiliary result, attain some estimations a Hermite–Hadamard type inequality involving s-p...

Nonlinear fractional differential equations have gained a significant place in mathematical physics. Finding the solutions to these has emerged as field of study that attracted lot attention lately. In this work, He’s semi-inverse variation method and ansatz been applied find soliton for Korteweg–de Vries equation, equal width modified equation defined by Atangana’s conformable derivative (beta...