Abstract In this paper, we are concerned with the eigenvalue gap and ratio of Dirichlet conformable fractional Sturm–Liouville problems. We show that kind differential equation satisfies property by Prüfer substitution. That is, n th eigenfunction has $n-1$ n − 1 zero in $( 0...

The isothermal gas sphere is a particular type of Lane-Emden equation and used widely to model many problems in astrophysics, like the formation stars, star clusters galaxies. In this paper, we present computational scheme simulate conformable fractional using an artificial neural network (ANN) technique, compare obtained results with analytical solution deduced Taylor series. We performed our ...

An accurate forecast of the area drought disaster is vitally important for government to take appropriate measures prevent disaster. In current study, a new conformable fractional discrete grey model applied study trend affected by disasters. Firstly, model, abbreviated as CFDGM(1,1), proposed with definitions operator and classical GM(1,1) model. Then recursive expression time response functio...

The purpose of this paper is to give and prove the fundamental theorem conformable fractional calculus which given only in previous associated papers for differentiable functions, then we scrutinize existence uniqueness solutions some semilinear Cauchy problems nonlocal integrodifferential or differential equations their nonlinear terms include derivative integral. Two examples are investigated...

Abstract In this paper, we introduce notable Jensen–Mercer inequality for a general class of convex functions, namely uniformly functions. We explore some interesting properties such functions along with examples. As result, establish Hermite–Jensen–Mercer inequalities pertaining by considering the fractional integral operators. Moreover, Mercer–Ostrowski conformable operator via differentiable...