The nonlinear fractional Boussinesq equations are known as the differential equation class that has an important place in mathematical physics. In this study, a method called $$\Big (\frac{G'}{G^2}\Big )$$ -extension which works well and reveals exact solutions is used to examine with conformable time-fractional derivative. This very useful approach extremely utility compared other analytical m...

In this paper the more general comparison theorems for conformable fractional differential equations is proposed and tested. Thus we prove some inequalities for conformable integrals by using the generalization of Sturm’s separation and Sturm’s comparison theorems. The results presented here would provide generalizations of those given in earlier works. The numerical example is also presented t...

Building on the work of Josip Pečarić in 2013 and 1982 Srivastava 2017. We prove some new α-conformable dynamic inequalities Steffensen-type time scales. In case when α=1, we obtain well-known scale due to Steffensen inequalities. For specific scales, further show relevant as special cases: integral discrete Symmetry plays an essential role determining correct methods solve

In this study, we applied the generalized Kudryashov method to two different conformable fractional differential equations and one system namely Burgers’ equation with derivative, Wu-Zhang sinh-Gordon equation. Obtained solutions are soliton-type solutions. All obtained have been verified considered correct by placing them in original help of Maple software program. Also, plotted three-dimensio...

This research paper targets the fractional Hirota’s analytical solutions–Satsuma (HS) equations. The conformable derivative is employed to convert system into a with an integer–order. extended simplest equation (ESE) and modified Kudryashov (MKud) methods are used construct novel solutions of considered model. solutions’ accuracy investigated by handling computational Adomian decomposition meth...

This research describes an efficient numerical method based on Wendland’s compactly supported functions to simulate the time-space fractional coupled nonlinear Schrödinger (TSFCNLS) equations. Here, time and space derivatives are considered in terms of Caputo Conformable derivatives, respectively. The present discussion is following ways: we first approximate derivative proposed equation by a s...

Fractional calculus is nowadays an efficient tool in modelling many interesting nonlinear phenomena. This study investigates, a novel way, the Ulam–Hyers (HU) and Ulam–Hyers–Rassias (HUR) stability of differential equations with general conformable derivative (GCD). In our analysis, we employ some version Banach fixed-point theory (FPT). this generalize several earlier results. Two examples are...

In the article, we establish several Ostrowski type inequalities involving the conformable fractional integrals. As applications, we find new inequalities for the arithmetic and generalized logarithmic means.