In the present study, our focus is to obtain different analytical solutions space–time fractional Bogoyavlenskii equation in sense of Jumaries-modified Riemann–Liouville derivative and conformable time–fractional-modified nonlinear Schrödinger that describes fluctuation sea waves propagation water ocean engineering, respectively. The G′G2–expansion method applied investigate dynamics solitons r...

Coronavirus has become a serious global phenomenon in recent times and negative effects on the entire world economy. In this study, fractional mathematical model formulated conformable derivative is studied. The hinges concept of mammal hosts humans. basic properties coronavirus are investigated. stability analysis carried out as well sensitivity based reproduction number. Numerical simulation ...

In this study, some inequalities of Hermite-Hadamard type for integrals arising in conformable fractional calculus are presented. fact, the obtained not only valid those calculus, but more general as well. Numerous known versions recovered special cases. We also illustrate our findings via applications to modified Bessel functions, means, and midpoint approximations.

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...

In this paper, we study the inverse problem for Sturm Liouville with conformable fractional differential operators of order and finite number interior discontinuous conditions. For aim first, asymptotic formulas solutions, eigenvalues eigenfunctions are calculated. Then some uniqueness theorems proposed eigenvalue proved. Finally, Hald's theorem 
 Sturm-Liouville is developed.

In this paper, we study a class of conformable frictionless contact problems with the surface traction driven by impulsive differential equation. The existence mild solution for hemivariational inequality is obtained Rothe method, subjectivity multivalued pseudomonotone operators and property derivative. Notice that imply some new fractional viscoelastic constitutive laws.

Abstract In a recent paper, conformable fractional Newton-type method was proposed for solving nonlinear equations. This involves lower computational cost compared to other iterative methods. Indeed, the theoretical order of convergence is held in practice, and it presents better numerical behaviour than methods formerly proposed, even classical Newton-Raphson method. this work, we design gener...