Results 101 to 110 of about 1,397,398 (207)

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
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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

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
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General (k, p)-Riemann-Liouville fractional integrals [PDF]

The main motivation of this study is to establish a general version of the Riemann-Liouville fractional integrals with two exponential parameters k and p which is determined over the (k, p)-gamma function.
Budak, Hüseyin, Benaissa, Bouharket
core   +1 more source

Fuzzy fractional integral equations under compactness type condition

, 2012
In this paper we study a fuzzy fractional integral equation. The fractional derivative is considered in the sense of Riemann-Liouville and we establish existence of the solutions of fuzzy fractional integral equations using the Hausdorff measure of ...
Arshad, Sadia, Agarwal, Ravi, O’Regan, Donal, Lupulescu, Vasile   +3 more
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On the Riemann-Liouville Fractional q-Integral Operator Involving a Basic Analogue of Fox H-Function [PDF]

, 2005
2000 Mathematics Subject Classification: 33D60, 26A33, 33C60The present paper envisages the applications of Riemann-Liouville fractional q-integral operator to a basic analogue of Fox H-function.
Purohit, S., Yadav, R., Kalla, S.
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Integral de Riemann no Rn [PDF]

, 2004
TCC (graduação) - Universidade Federal de Santa Catarina, Centro de Ciências Físicas e Matemáticas, Curso de Matemática.Neste trabalho, estudamos a Integral de Riemann, seus aspectos históricos e sua construção. Mostramos os teoremas de Darboux e Riemann
Leal Junior, Luiz Carlos
core  

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

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.
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On weighted Montogomery identities for Riemann-Liouville fractional integrals

, 2012
In this paper, we extend the weighted Montogomery identities for the Riemann-Liouville fractional integrals. We also use this Montogomery identities to establish some new Ostrowski type integral inequalities.
Sarikaya, Mehmet Zeki, Yaldiz, Hatice
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