Results 81 to 90 of about 750 (182)

Intuitionistic Fuzzy Riemann-Liouville and Hadamard Fractional ⊗Integrals

Earthline Journal of Mathematical Sciences
In this study, we introduce intuitionistic fuzzy Riemann-Liouville and Hadamard fractional ⊗integrals of intuitionistic fuzzy valued functions and obtain some of their basic properties. We also give some examples to illustrate the obtained results.
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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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Weighted Trapezoid and Midpoint Inequalities and Applications: Bridging Classical and Fractional Integrals

Journal of Function Spaces
This paper is aimed at extending classical midpoint and trapezoid inequalities by incorporating a weight function, which serves as a versatile tool to bridge these inequalities with their fractional integral analogues.
Hüseyin Budak, Abdelghani Lakhdari, Mehmet Zeki Sarikaya   +2 more
doaj   +1 more source

Newton-type Inequalities for Fractional Integrals by Various Function Classes

Universal Journal of Mathematics and Applications
The authors of the paper examine some Newton-type inequalities for various function classes using Riemann-Liouville fractional integrals. Namely, we establish some Newton-type inequalities for bounded functions by fractional integrals.
Hüseyin Budak, Tingsong Du, Fatih Hezenci   +2 more
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Some New Approaches to Fractional Euler–Maclaurin-Type Inequalities via Various Function Classes

Fractal and Fractional
This paper aims to examine an approach that studies many Euler–Maclaurin-type inequalities for various function classes applying Riemann–Liouville fractional integrals.
Mehmet Gümüş, Fatih Hezenci, Hüseyin Budak   +2 more
doaj   +1 more source

Positive solutions to a system of psi-Riemann–Liouville fractional differential equations with coupled boundary conditions

Nonlinear Analysis
We investigate the existence of positive solutions for a system of ψ-Riemann–Liouville fractional differential equations with positive parameters and sign-changing nonlinearities subject to nonlocal coupled boundary conditions containing Riemann ...
Alexandru Tudorache, Rodica Luca
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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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Inequalities for Co-ordinated m−Convex Functions via Riemann-Liouville Fractional Integrals

International Journal of Analysis and Applications, 2014
In this paper, we prove some new inequalities of Hadamard-type for m−convex functions on the co-ordinates via Riemann-Liouville fractional integrals.
Çetin Yildiz, Mevlüt Tunc, Havva Kavurmaci   +2 more
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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
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Riemann–Liouville fractional integral type exponential sampling Kantorovich series

Expert Systems with Applications
In the present paper, we introduce a new family of sampling Kantorovich type operators using fractional-type integrals. We study approximation properties of newly constructed operators and give a rate of convergence via a suitable modulus of continuity. Furthermore, we obtain an asymptotic formula considering locally regular functions.
Sadettin Kursun, Ali Aral, Tuncer Acar
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