Results 71 to 80 of about 187,262 (303)

Solution of Fractional Order Equations in the Domain of the Mellin Transform

Journal of Nigerian Society of Physical Sciences, 2019
This paper presents the Mellin transform for the solution of the fractional order equations. The Mellin transform approach occurs in many areas of applied mathematics and technology.
Sunday Emmanuel Fadugba
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

STAT3 expression is reduced in cardiac pericytes in HFpEF and its loss reduces cellular adhesion and induces pericyte senescence

FEBS Letters, EarlyView.
Heart failure with preserved ejection fraction (HFpEF) accounts for half of the heart failure cases. It is characterised by microvascular dysfunction, associated with reduced pericyte coverage and diminished STAT3 expression in pericytes. Loss of STAT3 impairs pericyte adhesion, promotes senescence, and activates a pro‐fibrotic gene program.
Leah Rebecca Vanicek, Ariane Fischer, Mariano Ruz Jurado, Anita Tamiato, Tara Procida‐Kowalski, Jochen Wilhelm, Dennis Hecker, Maximilian Merten, Felicitas Escher, Badder Kattih, Valentina Puntmann, David John, Marcel H. Schulz, Eike Nagel, Stefanie Dimmeler, Guillermo Luxán   +15 more
wiley   +1 more source

Fractional Model for a Class of Diffusion-Reaction Equation Represented by the Fractional-Order Derivative

Fractal and Fractional, 2020
This paper proposes the analytical solution for a class of the fractional diffusion equation represented by the fractional-order derivative. We mainly use the Grunwald–Letnikov derivative in this paper.
Ndolane Sene
doaj   +1 more source

Solutions of some typical nonlinear differential equations with Caputo-Fabrizio fractional derivative

AIMS Mathematics, 2022
In this paper, the solutions of some typical nonlinear fractional differential equations are discussed, and the implicit analytical solutions are obtained.
Zhoujin Cui
doaj   +1 more source

Hilfer–Katugampola fractional derivatives

Computational and Applied Mathematics, 2017
We propose a new fractional derivative, the Hilfer-Katugampola fractional derivative. Motivated by the Hilfer derivative this formulation interpolates the well-known fractional derivatives of Hilfer, Hilfer-Hadamard, Riemann-Liouville, Hadamard, Caputo, Caputo-Hadamard, Liouville, Weyl, generalized and Caputo-type.
Daniela Oliveira, E. Capelas de Oliveira
openaire   +3 more sources

Ion channel function of polycystin‐2/polycystin‐1 heteromer revealed by structure‐guided mutagenesis

FEBS Letters, EarlyView.
Mutations in polycystin‐1 (PC1) or polycystin‐2 (PC2) cause autosomal‐dominant polycystic kidney disease (ADPKD). We generated a novel gain‐of‐function PC2/PC1 heteromeric ion channel by mutating pore‐blocking residues. Moreover, we demonstrated that PC2 will preferentially assemble with PC1 to form heteromeric complexes when PC1 is co‐expressed ...
Tobias Staudner, Juthamas Khamseekaew, M. Gregor Madej, Linda Geiges, Bardha Azemi, Christine Ziegler, Christoph Korbmacher, Alexandr V. Ilyaskin   +7 more
wiley   +1 more source

THE NEW SOLUTION OF TIME FRACTIONAL WAVE EQUATION WITH CONFORMABLE FRACTIONAL DERIVATIVE DEFINITION

Journal of New Theory, 2015
– In this paper, we used new fractional derivative definition, the conformable fractional derivative, for solving two and three dimensional time fractional wave equation.
Yücel Çenesiz, Ali Kurt
doaj  

Extended Riemann-Liouville fractional derivative operator and its applications [PDF]

, 2015
Many authors have introduced and investigated certain extended fractional derivative operators. The main object of this paper is to give an extension of the Riemann-Liouville fractional derivative operator with the extended Beta function given by ...
Agarwal, Praveen, Choi, Junesang, Paris, Richard B.   +2 more
core   +1 more source

Autophagy in cancer and protein conformational disorders

FEBS Letters, EarlyView.
Autophagy plays a crucial role in numerous biological processes, including protein and organelle quality control, development, immunity, and metabolism. Hence, dysregulation or mutations in autophagy‐related genes have been implicated in a wide range of human diseases.
Sergio Attanasio
wiley   +1 more source