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

Published on Jan 1, 2021

· DOI :10.3934/MATH.2021374

Lanxin Chen , Junxian Zhang + 3 AuthorsLishuang Pan

Published on Jan 1, 2021

· DOI :10.3934/MATH.2021374

Lanxin Chen , Junxian Zhang + 3 AuthorsLishuang Pan

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References34

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#3Viet Kh. NguyenH-Index: 1

Last. Pham Hung QuyH-Index: 1

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#1Ghulam FaridH-Index: 16

#3K. MahreenH-Index: 1

Last. Yu-Ming ChuH-Index: 1

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#1Gratien TwagirumukizaH-Index: 2

#3Edouard SingirankaboH-Index: 1

#1Hammad Nafis (Riphah International University)H-Index: 1

#2Humberto Rafeiro (United Arab Emirates University)H-Index: 15

Last. Muhammad Asad Zaighum (Riphah International University)H-Index: 4

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

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

#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

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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.

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

#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

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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.

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

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...

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

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

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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...

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Nonexistence Results for Higher Order Fractional Differential Inequalities with Nonlinearities Involving Caputo Fractional Derivative

#1Mohamed JleliH-Index: 22

#2Bessem SametH-Index: 50

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Higher order fractional differential equations are important tools to deal with precise models of materials with hereditary and memory effects. Moreover, fractional differential inequalities are useful to establish the properties of solutions of different problems in biomathematics and flow phenomena. In the present work, we are concerned with the nonexistence of global solutions to a higher order fractional differential inequality with a nonlinearity involving Caputo fractional derivative. Name...