Results 111 to 120 of about 357,245 (207)

The Essential Gronwall Inequality Demands the $\left(\rho,\varphi \right) -$Fractional Operator with Applications in Economic Studies

Universal Journal of Mathematics and Applications
Gronwall's inequalities are important in the study of differential equations and integral inequalities. Gronwall inequalities are a valuable mathematical technique with several applications.
Rabha Ibrahim, Zoubir Dahmani, Mohamed Bezzıou   +2 more
doaj   +1 more source

The Cotangent Derivative with Respect to Another Function: Theory, Methods and Applications

Fractal and Fractional
This paper introduces a generalization of the Riemann–Liouville and Caputo cotangent derivatives and their corresponding integrals, known as the Riemann–Liouville and Caputo cotangent derivatives with respect to another function (RAF).
Lakhlifa Sadek, Ali Algefary
doaj   +1 more source

Riemann-Liouville fractional cosine functions

, 2016
In this article, we present the notion of Riemann-Liouville fractional cosine function. we prove that a Riemann-Liouville alpha-order fractional cosine function is equivalent to the Riemann-Liouville alpha-order fractional resolvent introduced in [15]
Ji-Gen Peng, Zhan-Dong Mei
core  

HERMITE-HADAMARD TYPE INEQUALITIES FOR RIEMANN-LIOUVILLE FRACTIONAL INTEGRALS OF (α, m)-CONVEX FUNCTIONS [PDF]

, 2014
In the paper, the authors establish some new Hermite-Hadamard type inequalities for Riemann-Liouville fractional integrals of functions whose derivatives in absolute value are of (α,m ...
Bo-Yan Xi, Feng Qi, De-Ping Shi
core  

Ostrowski Type Inequalities Including Riemann-Liouville Fractional Integrals for Two Variable Functions

The main purpose of this study is to establish new inequalities including Riemann-Liouville fractional integrals for various classes of functions with two variables.
Demir, Canmert, Kılıçer, Sevgi, Özdemir, Burçin Gökkurt, Gökkurt Özdemir, Burçin, Erden, Samet   +4 more
core   +1 more source

Fractional integrals and fractional derivatives [PDF]

, 2002
Bu tezin, veri tabanı üzerinden yayınlanma izni bulunmamaktadır. Yayınlanma izni olmayan tezlerin basılı kopyalarına Üniversite kütüphaneniz aracılığıyla (TÜBESS üzerinden) erişebilirsiniz.ÖZET Yüksek Lisans Tezi FRACTIONALİNTEGRALLER veFRACTIONAL ...
Yıldız, Hacer
core  

Some inequalities for conformable fractional integrals by using a parameter

In this chapter, we particularly focus on the inequalities for Riemann-Liouville fractional integrals and conformable fractional integrals. We first present the known Hermite-Hadamard inequalities for these integrals and the corresponding midpoint-and ...
Hezenci, Fatih, Budak, Hüseyin, Kara, Hasan   +2 more
core   +1 more source

Hardy type inequalities for fractional integrals and derivatives of Riemann–Liouville

, 2020
© 2017, Pleiades Publishing, Ltd. We prove new Hardy type inequalities for Riemann–Liouville fractional integrals and derivatives in the case when the weight function have power and logarithmic ...
Nasibullin R.
core  

New adaptive memory stochastic fractional operators and their applications in computational intelligence. [PDF]

Sci Rep
Khan TU, Al-Juaid BS, Markarian C.
europepmc   +1 more source

A novel grey system model with discrete Riemann-Liouville fractional derivative and its applications. [PDF]

Sci Prog
Xu Z, Peng R, Pang M, Jiang J, Zhang R, Liu C.   +5 more
europepmc   +1 more source