On Weighted Fractional Calculus With Respect to Functions
Sign Up to like & getrecommendations! Published in 2024 at "Mathematical Methods in the Applied Sciences"
DOI: 10.1002/mma.10626
Abstract: This paper aims to further explore the existing theory of weighted fractional operators with respect to functions. This theory extends some fundamental results of classical Riemann–Liouville and Caputo fractional derivatives to their weighted counterparts involving… read more here.
Keywords: respect functions; weighted fractional; fractional calculus; calculus respect ... See more keywords
Central limit theorems and parameter estimation associated with a weighted-fractional Brownian motion
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Statistical Planning and Inference"
DOI: 10.1016/j.jspi.2017.07.001
Abstract: Abstract Let B a , b be a weighted-fractional Brownian motion with indexes a and b satisfying | b | 1 ∧ ( 1 + a ) , a > − 1 which is a… read more here.
Keywords: weighted fractional; limit theorems; fractional brownian; central limit ... See more keywords
ON THE WEIGHTED FRACTIONAL OPERATORS OF A FUNCTION WITH RESPECT TO ANOTHER FUNCTION
Sign Up to like & getrecommendations! Published in 2020 at "Fractals"
DOI: 10.1142/s0218348x20400113
Abstract: The primary goal of this study is to define the weighted fractional operators on some spaces. We first prove that the weighted integrals are bounded in certain spaces. Afterwards, we discuss the we... read more here.
Keywords: operators function; respect another; weighted fractional; fractional operators ... See more keywords
ON WEIGHTED k-FRACTIONAL OPERATORS WITH APPLICATIONS IN MATHEMATICAL PHYSICS
Sign Up to like & getrecommendations! Published in 2020 at "Fractals"
DOI: 10.1142/s0218348x21500845
Abstract: The main objective of this paper is to present weighted [Formula: see text]-fractional integral and derivative operators of a function with respect to another function and to uncover their properties. In addition to this, we… read more here.
Keywords: weighted fractional; mathematical physics; physics; fractional operators ... See more keywords
A Physical Security Technology Based upon Doubly Multiple Parameters Weighted Fractional Fourier Transform
Sign Up to like & getrecommendations! Published in 2024 at "China Communications"
DOI: 10.23919/jcc.ea.2021-0244.202401
Abstract: Enhancing the security of the wireless communication is necessary to guarantee the reliable of the data transmission, due to the broadcast nature of wireless channels. In this paper, we provide a novel technology referred to… read more here.
Keywords: fractional fourier; doubly multiple; weighted fractional; multiple parameters ... See more keywords
Taylor's Formula for Generalized Weighted Fractional Derivatives with Nonsingular Kernels
Sign Up to like & getrecommendations! Published in 2022 at "Axioms"
DOI: 10.3390/axioms11050231
Abstract: We prove a new Taylor’s theorem for generalized weighted fractional calculus with nonsingular kernels. The proof is based on the establishment of new relations for nth-weighted generalized fractional integrals and derivatives. As an application, new… read more here.
Keywords: taylor formula; weighted fractional; nonsingular kernels; formula generalized ... See more keywords
New Hermite-Hadamard Integral Inequalities for Geometrically Convex Functions via Generalized Weighted Fractional Operator
Sign Up to like & getrecommendations! Published in 2022 at "Symmetry"
DOI: 10.3390/sym14071440
Abstract: The main purpose of this research is to concentrate on the development of new definitions for the weighted geometric fractional integrals of the left-hand side and right-hand side of the function ℵ with regard to… read more here.
Keywords: weighted fractional; geometrically convex; function; fractional integrals ... See more keywords