Results 241 to 250 of about 13,688 (264)

Generalized Fractional Integral Operator in a Complex Domain

Studia Universitatis Babes-Bolyai Matematica
A new fractional integral operator is used to present a generalized class of analytic functions in a complex domain. The method of definition is based on a Hadamard product of analytic function, which is called convolution product. Then we formulate a convolution integral operator acting on the sub-class of normalized analytic functions.
Dalia S. Ali, Rabha W. Ibrahim, Dumitru Băleanu, Nadia M.G. Al-Saidi   +3 more
openaire   +1 more source

Caputo generalized ψ-fractional integral inequalities

Journal of Applied Analysis, 2020
Abstract Very general univariate and multivariate Caputo ψ-fractional integral inequalities of Poincaré, Sobolev and Hilbert–Pachpatte types are presented. Estimates are with respect to ∥
openaire   +1 more source

On New Generalized Fractional Integral Operators and Related Fractional Inequalities

2017
In this paper, we define the generalized k-fractional integrals of a function with respect to the another function which generalizes many different types of fractional integrals such as Riemann-Liouville fractional, Hadamard fractional integrals, Katugampola fractional integral, (k, s)-fractional integral operators. Moreover, we obtain Hermite-Hadamard
TUNÇ, Tuba, BUDAK, Hüseyin, USTA, Fuat, SARIKAYA, Mehmet Zeki   +3 more
openaire   +4 more sources

Fractional derivatives: integral representations and generalized polynomials

2004
Summary: We show that the use of functions associated with generalized forms of Hermite polynomials provide a natural tool for the solution of partial differential equations involving fractional derivatives. Within such a context we clarify the meaning of exponential operators with fractional derivatives and discuss alternative definitions based on ...
DATTOLI G, CESARANO C, RICCI, Paolo Emilio, VAZQUEZ L.   +3 more
openaire   +2 more sources

New Fractional Integral Inequalities via k-Atangana–Baleanu Fractional Integral Operators

Fractal and Fractional, 2023
Eze Nwaeze, Seth Kermausuor
exaly  

Solving fractional integral equations by the Haar wavelet method

Applied Mathematics and Computation, 2009
U Lepik
exaly  

Some Inequalities of Čebyšev Type for Conformable k-Fractional Integral Operators

Symmetry, 2018
Kottakkaran Sooppy Nisar, Feng Qi, Sardar Muhammad Hussain   +2 more
exaly  

Some inequalities involving Hadamard‐type k‐fractional integral operators

Mathematical Methods in the Applied Sciences, 2017
P Agarwal
exaly  

Fractional variational problems from extended exponentially fractional integral

Applied Mathematics and Computation, 2011
Rami Ahmad El-Nabulsi
exaly  

Fuzzy fractional integral equations under compactness type condition

Fractional Calculus and Applied Analysis, 2012
Sadia Arshad, Donal O'Regan, Ravi Agarwal   +2 more
exaly