Results 221 to 230 of about 410 (256)

Conformable fractional integral inequalities of Chebyshev type

Revista De La Real Academia De Ciencias Exactas, Fisicas Y Naturales - Serie A: Matematicas, 2018
The authors derived and proved several new Chebyshev-type inequalities involving new conformable fractional integral operators.
Ilker Mumcu, Erhan Set, Set Erhan
exaly   +3 more sources

On the Integral Inequalities for Riemann–Liouville and Conformable Fractional Integrals

2018
An integral operator is sometimes called an integral transformation. In the fractional analysis, Riemann–Liouville integral operator (transformation) of fractional integral is defined as $$S_{\alpha }(x)= \frac{1}{\Gamma (x)} \int _{0}^{x} (x-t)^{\alpha -1}f(t)dt$$ where f(t) is any integrable function on [0, 1] and \(\alpha >0\), t is in domain
Emin Ozdemir M.   +6 more
openaire   +3 more sources

Discussion on Barbalat Lemma extensions for conformable fractional integrals

International Journal of Control, 2017
In this paper, the Barbalat-type lemmas for conformable fractional order integrals which can be used to conclude the convergence of a function to zero is discussed.
Abdourazek Souahi   +3 more
openaire   +1 more source

OPIAL-TYPE INEQUALITY ABOUT CONFORMABLE FRACTIONAL INTEGRALS AND THE APPLICATION

Fractals, 2021
In this paper, we define partial conformable fractional derivative (PCFD) which is based on the fractional derivative definition proposed by Abdeljawad. At the same time, we present some simple properties about the definition, the properties are useful for us when we carry out further research.
Qi, Yongfang   +2 more
openaire   +1 more source

On Some Special Functions for Conformable Fractional Integrals

2020
In this paper, we introduce the (α,k)-gamma function, (α,k)-beta function, Pochhammer symbol (x)αn,k and Laplace transforms for conformable fractional integrals. We prove several properties generalizing those satisfied by the classical gamma function, beta function and Pochhammer symbol. The results presented here would provide generalizations of those
SARIKAYA, Mehmet Zeki   +4 more
openaire   +5 more sources

Home - About - Disclaimer - Privacy