Results 61 to 70 of about 29,026 (312)

Distributed Order Derivatives and Relaxation Patterns

, 2009
We consider equations of the form $(D_{(\rho)}u)(t)=-\lambda u(t)$, $t>0$, where $\lambda >0$, $D_{(\rho)}$ is a distributed order derivative, that is the Caputo-Dzhrbashyan fractional derivative of order $\alpha$, integrated in $\alpha\in (0,1)$ with ...
Anatoly N Kochubei, Bingham N H, Chechkin A V, Ditkin V A, Eidelman S D, Fedoryuk M V, Feller W, Gorenflo R, Hanyga A, Kilbas A A, Metzler R, Riekstynsh E Y, Umarov S   +12 more
core   +1 more source

Swedish Consumers' Willingness‐to‐Pay for Plant‐Based Proteins in Pasta Sauce: Preferences and Policy Scenarios

Agribusiness, EarlyView.
ABSTRACT This paper explores Swedish consumers' protein preferences by estimating the willingness‐to‐pay (WTP) for minced meat and plant‐based proteins in pasta sauce from an in‐store experiment (n = 206) and an online discrete choice experiment (n = 517). On average, the WTP was highest for minced meat.
Emilia Mattsson, Anna Kristina Edenbrandt, Jens Rommel, Sarah Säll   +3 more
wiley   +1 more source

New applications of the new general integral transform method with different fractional derivatives

Alexandria Engineering Journal, 2023
Integral transforms are a versatile mathematical technique that can be applied in a wide range of science and engineering fields. We consider the general integral transform with the Caputo derivative and Constant Proportional Caputo derivative in this ...
Ali Akgül, Enver Ülgül, Necibullah Sakar, Büşra Bilgi, Aklime Eker   +4 more
doaj   +1 more source

Analytic solutions of fractional differential equations by operational methods

, 2012
We describe a general operational method that can be used in the analysis of fractional initial and boundary value problems with additional analytic conditions. As an example, we derive analytic solutions of some fractional generalisation of differential
Garra, Roberto, Polito, Federico
core   +1 more source

EQUIVALENCE OF INITIALIZED RIEMANN-LIOUVILLE AND CAPUTO DERIVATIVES

Journal of Applied Analysis & Computation, 2020
Summary: Initialization of fractional differential equations remains an ongoing problem. The initialization function approach and the infinite state approach provide two effective ways of dealing with this issue. The purpose of this paper is to prove the equivalence of the initialized Riemann-Liouville derivative and the initialized Caputo derivative ...
Yuan, Jian, Gao, Song, Xiu, Guozhong, Shi, Bao   +3 more
openaire   +1 more source

The Diagnosis That Arrived Decades Late: Living Without and Then With Myhre Syndrome

American Journal of Medical Genetics Part C: Seminars in Medical Genetics, EarlyView.
ABSTRACT Myhre syndrome (MIM #139210) is a rare multisystem disorder first described in 1981, characterized by short stature, neurodevelopmental delay, joint contractures, and cardiopulmonary complications. Its molecular basis, recurrent pathogenic variants in SMAD4, was not discovered until 2011. This narrative is based on a review of medical records,
Abdallah F. Elias
wiley   +1 more source

Caputo-Type Modification of the Erdélyi-Kober Fractional Derivative [PDF]

, 2007
2000 Math. Subject Classification: 26A33; 33E12, 33E30, 44A15, 45J05The Caputo fractional derivative is one of the most used definitions of a fractional derivative along with the Riemann-Liouville and the Grünwald- Letnikov ones.
Luchko, Yury, Trujillo, Juan
core  

Necessary and sufficient conditions for the fractional calculus of variations with Caputo derivatives

, 2010
We prove optimality conditions for different variational functionals containing left and right Caputo fractional derivatives. A sufficient condition of minimization under an appropriate convexity assumption is given.
Agrawal, Agrawal, Agrawal, Agrawal, Agrawal, Agrawal, Almeida, Almeida, Atanacković, Blutzer, Delfim F.M. Torres, Dreisigmeyer, Dreisigmeyer, Frederico, Frederico, Inizan, Jónsson, Kilbas, Klimek, Klimek, Lorenzo, Mainardi, Malinowska Agnieszka, Miller, Muslih, Muslih, Podlubny, Ricardo Almeida, Riewe, Riewe, Samko, van Brunt   +31 more
core   +1 more source

Processing Fractional Differential Equations Using ψ-Caputo Derivative

Symmetry, 2023
Recently, many scientists have studied a wide range of strategies for solving characteristic types of symmetric differential equations, including symmetric fractional differential equations (FDEs). In our manuscript, we obtained sufficient conditions to prove the existence and uniqueness of solutions (EUS) for FDEs in the sense ψ-Caputo fractional ...
Mahrouz Tayeb, Hamid Boulares, Abdelkader Moumen, Moheddine Imsatfia   +3 more
openaire   +1 more source

Descriptive Epidemiology From the Myhre Syndrome Foundation Registry: The Value of Self‐Reported Data

American Journal of Medical Genetics Part C: Seminars in Medical Genetics, EarlyView.
ABSTRACT Myhre syndrome is an ultrarare genetic disease characterized by short stature, distinct craniofacial features, cardiovascular and respiratory fibrosis and stenosis, neurodevelopmental delays, autism, intellectual disability, and hearing loss. The natural history of Myhre syndrome is still not fully understood due to a small patient population ...
Mary K. Young, Armelle Pindon, Maggie R. Brand, Kate Wears, Katherine H. Young, Alyssa Mendel, Michael J. Lyons   +6 more
wiley   +1 more source