Results 41 to 50 of about 864,500 (304)

Katugampola Fractional Calculus With Generalized k−Wright Function

European Journal of Mathematical Analysis, 2021
In this article, we present some properties of the Katugampola fractional integrals and derivatives. Also, we study the fractional calculus properties involving Katugampola Fractional integrals and derivatives of generalized k−Wright function nΦkm(z).
Ahmad Y. A. Salamooni, D. D. Pawar
doaj   +1 more source

Fractional Differential Equations with the General Fractional Derivatives of Arbitrary Order in the Riemann–Liouville Sense

Mathematics, 2022
In this paper, we first consider the general fractional derivatives of arbitrary order defined in the Riemann–Liouville sense. In particular, we deduce an explicit form of their null space and prove the second fundamental theorem of fractional calculus ...
Yuri Luchko
doaj   +1 more source

Deret Maclaurin Turunan Fraksional Fungsi Inverse Trigonometri dan Radius Kekonverganannya

Jambura Journal of Mathematics
Fractional derivatives are a generalization of ordinary derivatives to non-integer or fractional orders. This study presents the fractional derivatives of inverse trigonometric functions (arcsin, arccos, and arctan) with the order constraint 0 α ≤ 1 ...
Siti Miftahurrohmah Khoirunisa, Hafiz Iqbal Anshori, Eka Mulyawati S. Karim   +2 more
doaj   +1 more source

Comparison principles for fractional differential equations with the Caputo derivatives

Advances in Difference Equations, 2018
In this paper, we deal with comparison principles for fractional differential equations involving the Caputo derivatives of order p with 0≤n ...
Ziqiang Lu, Yuanguo Zhu
doaj   +1 more source

Riemann’s conjecture and a fractional derivative

Computers & Mathematics with Applications, 2010
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
A. Le Méhauté, A. El Kaabouchi, L. Nivanen   +2 more
openaire   +2 more sources

FRACTIONAL CENTRAL DIFFERENCES AND DERIVATIVES [PDF]

IFAC Proceedings Volumes, 2006
Fractional central differences and derivatives are studied in this article. These are generalisations to real orders of the ordinary positive (even and odd) integer order differences and derivatives, and also coincide with the well known Riesz potentials.
openaire   +2 more sources

Non-local fractional derivatives. Discrete and continuous [PDF]

, 2017
We prove maximum and comparison principles for the discrete fractional derivatives in the integers. Regularity results when the space is a mesh of length h, and approximation theorems to the continuous fractional derivatives are shown. When the functions
Torrea, José L., Torrea, José L. [0000-0002-3119-6865], Abadias, Luciano, De León-Contreras, Marta [0000-0002-8112-0180], De León-Contreras, Marta   +4 more
core   +1 more source

A New Mixed Fractional Derivative with Applications in Computational Biology

Computation
This study develops a new definition of a fractional derivative that mixes the definitions of fractional derivatives with singular and non-singular kernels.
Khalid Hattaf
doaj   +1 more source

Lyapunov-type inequalities for fractional differential equations: a survey [PDF]

Surveys in Mathematics and its Applications, 2021
A survey of results on Lyapunov-type inequalities for fractional differential equations associated with a variety of boundary conditions is presented.
Sotiris K. Ntouyas, Bashir Ahmad
doaj  

European Standard Clinical Practice Guideline and EXPeRT Recommendations for the Diagnosis and Management of Gastroenteropancreatic Neuroendocrine Neoplasms in Children and Adolescents

Pediatric Blood &Cancer, EarlyView.
ABSTRACT Pediatric gastroenteropancreatic neuroendocrine neoplasms (GEP‐NENs) are extremely rare and clinically heterogeneous. Management has largely been extrapolated from adult practice. This European Standard Clinical Practice Guideline (ESCP), developed by the EXPeRT network in collaboration with adult NEN experts, provides (adult) evidence ...
Michaela Kuhlen, Calogero Virgone, Antje Redlich, Michael Abele, Ricardo Lopez‐Almaraz, Tal Ben‐Ami, Ewa Bien, Gianni Bisogno, Maja Mazic Cesen, Andrea Ferrari, Malgorzata A. Krawczyk, Yves Reguerre, Dominik T. Schneider, Ines B. Brecht, Charlotte Rigaud, Bilgehan Yalcin, Rainer Claus, Christian Vokuhl, Constantin Lapa, Jörg Fuchs, Segolene Hescot, Thomas Walter, Julien Hadoux, Daniel Orbach   +23 more
wiley   +1 more source