Results 61 to 70 of about 126,725,776 (290)
ON THE MODEIFIED CAPUTO’S DERIVATIVE OPERATOR
, 2022 The main subject of this study coincides with the recently adapted methodology in the theory of univalent functions via applications of fractional calculus. The Caputo's definition of fractional derivative of order 𝛼 has not been obviously applied in the field. However, it plays a vital role in other areas like physics and engineering due to its simple
openaire +1 more source
Unexpected behavior of Caputo fractional derivative
, 2017 Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)Processo FAPESP: 2013/08133-0This paper discusses the modeling via mathematical methods based on fractional calculus, using ...
de Figueiredo Camargo, Rubens [UNESP] +11 more
core +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
Abstract differential equations and Caputo fractional derivative
Semigroup Forum, 2022 In this work I consider the abstract Cauchy problems with Caputo fractional time derivative of order $α\in(0,1]$, and discuss the continuity of the respective solutions regarding the parameter $α$. I also present a study about the continuity of the Mittag-Leffler families of operators (for $α\in(0,1]$), induced by sectorial operators.
openaire +3 more sources
On Extended Caputo Fractional Derivative Operator
, 2017 The main objective of this present paper is to introduce further extension of extended Caputo fractional derivative operator and establish the extension of an extended fractional derivative of some known elementary functions.
Gauhar Rahman +2 more
core +1 more source
Fractional Cauchy Problem with Caputo Nabla Derivative on Time Scales [PDF]
, 2015 The definition of Caputo fractional derivative is given and some of its properties are discussed in detail. After then, the existence of the solution and the dependency of the solution upon the initial value for Cauchy type problem with fractional Caputo
Jiang Zhu, Ling Wu
core +1 more source
Stochastic applications of Caputo-type convolution operators with nonsingular kernels
, 2021 We consider here convolution operators, in the Caputo sense, with nonsingular kernels. We prove that the solutions to some integro-differential equations with such operators (acting on the space variable) coincide with the transition densities of a ...
Caputo M., Beghin L.
core +1 more source
Generalized Laplace transform and tempered Ψ-Caputo fractional derivative [PDF]
, 2023 In this paper, images of the tempered Ψ-Hilfer fractional integral and the tempered Ψ-Caputo fractional derivative under the generalized Laplace transform are derived.
Pospíšil, Michal, Medveď, Milan
core +1 more source
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 +6 more
wiley +1 more source
Monotonicity of Functions and Sign Changes of Their Caputo Derivatives [PDF]
Fractional Calculus and Applied Analysis, 2016 6 ...
openaire +3 more sources