Results 121 to 130 of about 2,981 (208)

Inequalities generated with Riemann-Liouville fractional integral operator

, 2019
The primary objective of this study is to handle new generalized midpoint, trapezoid and Simpson's type inequalities with the help of Riemann-Liouville fractional integral operator. In order to do this, a new fractional integral identity is obtained. Then by using this identity, some inequalities for the class of functions whose derivatives in absolute
Gürbüz M., Öztürk O., Gürbüz, Murat, Belirlenecek, Gürbüz, M., Department of Mathematics and Science Education, Faculty of Education, Ağrı İbrahim g? University, A?? 04100, Turkey; ?türk, O., Institute of Science and Technology, Ağrı İbrahim g? University, A?? 04100, Turkey   +4 more
openaire   +5 more sources

Fractional Calculus for Type 2 Interval-Valued Functions

Fractal and Fractional
This paper presents a contemporary introduction of fractional calculus for Type 2 interval-valued functions. Type 2 interval uncertainty involves interval uncertainty with the goal of more assembled perception with reference to impreciseness.
Mostafijur Rahaman, Dimplekumar Chalishajar, Kamal Hossain Gazi, Shariful Alam, Soheil Salahshour, Sankar Prasad Mondal   +5 more
doaj   +1 more source

Fractional-order Chelyshkov collocation method for solving variable-order fractional differential equations

Journal of Inequalities and Applications
This paper presents an efficient numerical method for solving variable-order fractional differential equations (VO-FDEs) by using the fractional-order Chelyshkov functions (FCHFs).
M. S. Al-Sharif, A. I. Ahmed, M. S. Salim   +2 more
doaj   +1 more source

Keterbatasan operator integral fraksional Riemann-Liouville pada ruang Lebesgue [PDF]

INDONESIA: Operator dikenal sebagai suatu fungsi atau pemetaan pada ruang vektor. Operator integral fraksional Riemann-Liouville adalah fungsi f yang dipetakan dari (0,∞) ke R, dengan orde a di mana a bilangan real dan a>0.
Illiyin, Nur
core  

On a Generic Fractional Derivative Associated with the Riemann–Liouville Fractional Integral

Axioms
In this paper, a generic fractional derivative is defined as a set of the linear operators left-inverse to the Riemann–Liouville fractional integral. Then, the theory of the left-invertible operators developed by Przeworska-Rolewicz is applied to deduce its properties.
openaire   +2 more sources

Mesoscopic fractional kinetic equations versus a riemann-liouville integral type [PDF]

, 2007
It is proved that kinetic equations containing noninteger integrals and derivatives are appeared in the result of reduction of a set of micromotions to some averaged collective motion in the mesoscale region.
Nigmatullin R., Trujillo J.
core  

Some new k-Riemann-Liouville fractional integral inequalities associated with the strongly η-quasiconvex functions with modulus μ≥0. [PDF]

J Inequal Appl, 2018
Nwaeze ER, Kermausuor S, Tameru AM.
europepmc   +1 more source

New Integral Inequalities in Quantum Calculus

International Journal of Analysis and Applications, 2015
In this paper, we study the q-analogue of Klamkin-McLenaghan's and Grueb-Reinboldt's inequalities then we use the Riemann-Liouville fractional q-integral to get some new integral results.
Kamel Brahim, Sabrina Taf, Bochra Nefzi
doaj   +2 more sources

On some generalized integral inequalities for k-fractional integrals [PDF]

, 2014
YÖK Tez No: 379795Bu tezde Riemann-Liouville kesirli integralin genelleşmesi olan k-Riemann-Liouville kesirli integral olarak adlandırılan kesirli integrali verilerek bazı özellikleri verildi.
Karaca, Aysel
core   +1 more source

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