Fractional integral inequalities for $ h $-convex functions via Caputo-Fabrizio operator

In this paper, we introduce grand variable Herz type spaces using discrete grand spaces and prove the boundedness of sublinear operators on these spaces.

14 Citations Source

A mathematical theoretical study of a particular system of Caputo–Fabrizio fractional differential equations for the Rubella disease model

Dec 1, 2020·Advances in Difference Equations2.42

#1Dumitru Baleanu (China Medical University (Taiwan))H-Index: 100

#2Hakimeh Mohammadi (IAU: Islamic Azad University)H-Index: 13

Last. Shahram Rezapour (Azarbaijan Shahid Madani University)H-Index: 28

view all 3 authors...

In this paper, we study the rubella disease model with the Caputo–Fabrizio fractional derivative. The mathematical solution of the liver model is presented by a three-step Adams–Bashforth scheme. The existence and uniqueness of the solution are discussed by employing fixed point theory. Finally some numerical simulations are showed to underpin the effectiveness of the used derivative.

47 Citations Source

Hermite–Hadamard inequality for fractional integrals of Caputo–Fabrizio type and related inequalities

Dec 1, 2020·Journal of Inequalities and Applications1.47

#1Mustafa Gürbüz (Ağrı İbrahim Çeçen University)H-Index: 4

#2Ahmet Ocak Akdemir (Ağrı İbrahim Çeçen University)H-Index: 12

Last. Erhan Set (Ordu University)H-Index: 21

view all 4 authors...

In this article, firstly, Hermite–Hadamard’s inequality is generalized via a fractional integral operator associated with the Caputo–Fabrizio fractional derivative. Then a new kernel is obtained and a new theorem valid for convex functions is proved for fractional order integrals. Also, some applications of our main findings are given.

9 Citations Source

Numerical study of integer-order hyperbolic telegraph model arising in physical and related sciences

Sep 1, 2020·European Physical Journal Plus3.23

More recently, it is discovered in the field of applied sciences and engineering that the telegraph equation is better suited to model reaction-diffusion than the ordinary diffusion equation. In this article, the second-order hyperbolic telegraph equations are analyzed numerically by means of an efficient local differential quadrature method utilizing the radial basis functions. The explicit time integration technique is used to semi-discretize the model in the time direction, while the space de...more

11 Citations Source

Analytic approximate solutions for some nonlinear Parabolic dynamical wave equations

Mar 18, 2020·Journal of Taibah University for Science1.86

#1Hijaz Ahmad (University of Engineering and Technology, Peshawar)H-Index: 18

#2Aly R. Seadawy (Taibah University)H-Index: 60

Last. Phatiphat Thounthong (King Mongkut's University of Technology North Bangkok)H-Index: 31

view all 4 authors...

In this paper, modified variational iteration algorithm-II is investigated for finding approximate solutions of nonlinear Parabolic equations. Comparisons of the MVIA-II with trigonometric B-spline...

133 Citations Source

1 2 3 4

Fractional integral inequalities for h convex functions via Caputo-Fabrizio operator