Results 111 to 120 of about 8,512 (209)

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

The Generalized Fractional Calculus of Variations

, 2014
We review the recent generalized fractional calculus of variations. We consider variational problems containing generalized fractional integrals and derivatives and study them using indirect methods.
Odzijewicz, Tatiana, Torres, Delfim F. M.   +1 more
core  

Riemann-Liouville Fractional Cosine Functions

, 2015
In this paper, a new notion, named Riemann-Liouville fractional cosine function is presented. It is proved that a Riemann-Liouville $\alpha$-order fractional cosine function is equivalent to Riemann-Liouville $\alpha$-order fractional resolvents ...
Mei, Zhan-Dong, Peng, Ji-Gen
core   +1 more source

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
doaj   +2 more sources

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

Grüss-type inequalities involving functional bounds via analytic kernel fractional integral. [PDF]

MethodsX
Neamah MK, Ibrahim A, Aljaaidi TA, Abdo MS.   +3 more
europepmc   +1 more source

Riemann-Liouville kesirli integral operatörünün invaryant altuzayları = Invariant subspace of the Riemann-Liouville fractional integration operator / [PDF]

Kaynakça var.
Ayyıldız, Meral, 1996- author 221999, Gürdal, Mehmet, 1976- thesis advisor 14209, Süleyman Demirel Üniversitesi. Fen Bilimleri Enstitüsü. Matematik Anabilim Dalı. 10117 issuing body   +2 more
openaire  

Analytical investigation of soliton propagation in conformable fractional-order transmission line metamaterials. [PDF]

Sci Rep
Almetwally EM, Zayed MA, Abo-Hashem SI, Sadat R, Mabrouk SM, Rashed AS.   +5 more
europepmc   +1 more source

Singularity in nonlinear systems: differential inclusion model for the standard and transformed fractional pantograph equation. [PDF]

Sci Rep
Mobayen S, Ghaderi M, Shabibi M, Parvaneh Masiha H, Rezapour S.   +4 more
europepmc   +1 more source