Results 61 to 70 of about 1,126,367 (350)

Fractional Equations of Curie-von Schweidler and Gauss Laws

, 2008
The dielectric susceptibility of most materials follows a fractional power-law frequency dependence that is called the "universal" response. We prove that in the time domain this dependence gives differential equations with derivatives and integrals of ...
Barrett J H, Curie J, Curie J, Debye P, Debye P, Debye P, Erdelyi A, Gorenflo R, Gorenflo R, Jonscher A K, Jonscher A K, Jonscher A K, Kempfle S, Kilbas A A, Podlubny I, Ramakrishnan T V, Samko S G, Tuncer E, Vasily E Tarasov, von Schweidler E   +19 more
core   +3 more sources

Applications of General Residual Power Series Method to Differential Equations with Variable Coefficients

Discrete Dynamics in Nature and Society, 2018
This paper is devoted to studying the analytical series solutions for the differential equations with variable coefficients. By a general residual power series method, we construct the approximate analytical series solutions for differential equations ...
Bochao Chen, Li Qin, Fei Xu, Jian Zu
doaj   +1 more source

Fractional differential equations solved by using Mellin transform

, 2014
In this paper, the solution of the multi-order differential equations, by using Mellin Transform, is proposed. It is shown that the problem related to the shift of the real part of the argument of the transformed function, arising when the Mellin ...
Butera, Salvatore, Di Paola, Mario
core   +1 more source

Refining the NaV1.7 pharmacophore of a class of venom‐derived peptide inhibitors via a combination of in silico screening and rational engineering

FEBS Letters, EarlyView.
Venom peptides have shown promise in treating pain. Our study uses computer screening to identify a peptide that targets a sodium channel (NaV1.7) linked to chronic pain. We produced the peptide in the laboratory and refined its design, advancing the search for innovative pain therapies.
Gagan Sharma, Jennifer R. Deuis, Xinying Jia, Theo Crawford, Sassan Rahnama, Eivind A. B. Undheim, Irina Vetter, Yanni K. ‐Y. Chin, Mehdi Mobli   +8 more
wiley   +1 more source

The modified generalized Kudryashov method for nonlinear space–time fractional partial differential equations of Schrödinger type

Results in Physics, 2023
This paper presents a modified version of the generalized Kudryashov method aimed at obtaining exact solutions for fractional partial differential equations of Schrödinger type.
Fushun Liu, Yuqiang Feng
doaj  

Convergence analysis for the fractional decomposition method applied to class of nonlinear fractional Fredholm integro-differential equation

Journal of Algorithms & Computational Technology, 2023
For scientists conducting research, fractional integral differential equation analysis is crucial. Therefore, in this study, we investigate analysis utilizing a novel method called the fractional decomposition method, which is applicable to fractional ...
Mahmoud S Rawashdeh, Hala Abedalqader, Nazek A Obeidat   +2 more
doaj   +1 more source

On solutions of linear fractional differential equations and systems thereof [PDF]

Fractional Calculus and Applied Analysis, Volume 22, No 2 (2019), 479--494, 2018
It is well-known that one-dimensional time fractional diffusion-wave equations with variable coefficients can be reduced to ordinary fractional differential equations and systems of linear fractional differential equations via scaling transformations.
arxiv   +1 more source

miRNA‐29 regulates epidermal and mesenchymal functions in skin repair

FEBS Letters, EarlyView.
miRNA‐29 inhibits cell‐to‐cell and cell‐to‐matrix adhesion by silencing mRNA targets. Adhesion is controlled by complex interactions between many types of molecules coded by mRNAs. This is crucial for keeping together the layers of the skin and for regenerating the skin after wounding.
Lalitha Thiagarajan, Rosa Sanchez‐Alvarez, Chiho Kambara, Poojitha Rajasekar, Yuluang Wang, François Halloy, Jonathan Hall, Hans‐Jürgen Stark, Iris Martin, Petra Boukamp, Svitlana Kurinna   +10 more
wiley   +1 more source

Nonlinear generalized fractional differential equations with generalized fractional integral conditions

Journal of Taibah University for Science, 2020
This research work is dedicated to an investigation of the existence and uniqueness of a class of nonlinear ψ-Caputo fractional differential equation on a finite interval , equipped with nonlinear ψ-Riemann–Liouville fractional integral boundary ...
Samiha Belmor, C. Ravichandran, F. Jarad
semanticscholar   +1 more source

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