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Central limit theorems and parameter estimation associated with a weighted-fractional Brownian motion

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0 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

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0 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

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0 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

Taylor's Formula for Generalized Weighted Fractional Derivatives with Nonsingular Kernels

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0 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

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1 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