Results 41 to 50 of about 1,368 (262)

FRACTIONAL INTEGRATIONS FOR THE NEW GENERALIZED HYPERGEOMETRIC FUNCTIONS

JOURNAL OF RAMANUJAN SOCIETY OF MATHEMATICS AND MATHEMATICAL SCIENCES, 2023
In this article, authors discussed about image formulas for the some new extended hypergeometric function using elementary properties of the fractional calculus integral operators. Furthermore, using integral transforms some image formulas are also established.
Chaudhary, M. P., Kaurangini, M. L., Kiymaz, I. O., Abubakar, U. M., Ata, E.   +4 more
openaire   +1 more source

A new weighted fractional operator with respect to another function via a new modified generalized Mittag–Leffler law

Boundary Value Problems, 2023
In this paper, new generalized weighted fractional derivatives with respect to another function are derived in the sense of Caputo and Riemann–Liouville involving a new modified version of a generalized Mittag–Leffler function with three parameters, as ...
Sabri T. M. Thabet, Thabet Abdeljawad, Imed Kedim, M. Iadh Ayari   +3 more
doaj   +1 more source

New Approaches to Fractal–Fractional Bullen’s Inequalities Through Generalized Convexity

Fractal and Fractional
This paper introduces a new identity involving fractal–fractional integrals, which allow us to derive several new Bullen-type inequalities via generalized convexity.
Wedad Saleh, Hamid Boulares, Abdelkader Moumen, Hussien Albala, Badreddine Meftah   +4 more
doaj   +1 more source

Certain Grüss-type inequalities via tempered fractional integrals concerning another function

Journal of Inequalities and Applications, 2020
We study a generalized left sided tempered fractional (GTF)-integral concerning another function Ψ in the kernel. Then we investigate several kinds of inequalities such as Grüss-type and certain other related inequalities by utilizing the GTF-integral ...
Gauhar Rahman, Kottakkaran Sooppy Nisar, Saima Rashid, Thabet Abdeljawad   +3 more
doaj   +1 more source

Certain inequalities via generalized proportional Hadamard fractional integral operators

Advances in Difference Equations, 2019
In the article, we introduce the generalized proportional Hadamard fractional integrals and establish several inequalities for convex functions in the framework of the defined class of fractional integrals.
Gauhar Rahman, Thabet Abdeljawad, Fahd Jarad, Aftab Khan, Kottakkaran Sooppy Nisar   +4 more
doaj   +1 more source

On generalized fractional integral inequalities for the monotone weighted Chebyshev functionals

Advances in Difference Equations, 2020
In this paper, we establish the generalized Riemann–Liouville (RL) fractional integrals in the sense of another increasing, positive, monotone, and measurable function Ψ.
Gauhar Rahman, Kottakkaran Sooppy Nisar, Behzad Ghanbari, Thabet Abdeljawad   +3 more
doaj   +1 more source

A new Generalized fractional derivative and integral

, 2017
In this article, we introduce a new general definition of fractional derivative and fractional integral, which depends on an unknown kernel. By using these definitions, we obtain the basic properties of fractional integral and fractional derivative such as Product Rule, Quotient Rule, Chain Rule, Roll's Theorem and Mean Value Theorem.
AKKURT, Abdullah, YILDIRIM, Merve Esra, YILDIRIM, Hüseyin   +2 more
openaire   +3 more sources

Modelling stem cell differentiation related processes—A practical overview for biologists

FEBS Letters, EarlyView.
Stem cell differentiation is complex and difficult to control experimentally. This review introduces suitable computational modelling approaches that can support stem cell research, from mechanistic ODE and abstract models to multiscale and deep learning methods.
Ricco Zeegelaar, Xinqi Yan, Lucas F. Jansen Klomp, Stefano Schivo, Janine N. Post   +4 more
wiley   +1 more source

A Continued Fraction Expansion for a Generalization of Dawson's Integral [PDF]

Mathematics of Computation, 1977
A continued fraction expansion for a generalization of Dawson’s integral is presented. An exact formula for the truncation error in terms of the confluent hypergeometric function is derived. The expansion is shown to have good convergence properties for both small and large values of the argument.
openaire   +3 more sources

Design and analysis strategies for robust microbiome ageing research

FEBS Letters, EarlyView.
The gut microbiome changes with age and associates with age‐related morbidity and mortality, establishing it as a potential biomarker and intervention target for ageing. Realising this potential requires methodological rigour, yet distinguishing biological signals from methodological artefacts remains challenging across cohorts. This review provides an
Mark Olenik, İsmail Güderer, Yi Wang, Tayyaba Alvi, Prasoon Pandey, Handan Melike Dönertaş   +5 more
wiley   +1 more source