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Analysis of Fractional Differential Equations

Journal of Mathematical Analysis and Applications, 2002
The authors discuss the existence, uniqueness and structural stability of solutions to nonlinear differential equations of fractional order. They take the differential operators in the Riemann-Liouville sense and the initial conditions are specified according to Caputo's suggestion, in order to allow for an interpretation in a physically meaningful way.
Kai Diethelm, Neville Ford
exaly   +4 more sources

Fractional Differential Equations and Expansions in Fractional Powers

Symmetry, 2023
We use power series with rational exponents to find exact solutions to initial value problems for fractional differential equations. Certain problems that have been previously studied in the literature can be solved in a closed form, and approximate solutions are derived by constructing recursions for the relevant expansion coefficients.
Diego Caratelli, Pierpaolo Natalini, Paolo Emilio Ricci   +2 more
openaire   +3 more sources

ON THE FRACTIONAL RICCATI DIFFERENTIAL EQUATION [PDF]

International Journal of Pure and Apllied Mathematics, 2016
In this paper, We tried to find an analytical solution of nonlinear Riccati conformable fractional differential equation. Fractional derivatives are described in the conformable derivative. The behavior of the solutions and the effects of different values of fractional order ? are presented graphically and table.
Hanalioğlu (Khaniyev), Tahir, Merdan, M.   +1 more
openaire   +2 more sources

Fractional Differential Equations [PDF]

International Journal of Differential Equations, 2010
1 School of Mathematical Sciences, Queensland University of Technology, P.O. Box 2434, Brisbane, Qeensland 4001, Australia 2 Department of Statistics and Probability, Michigan State University, A416 Wells Hall, East Lansing, MI 48823, USA 3 Department of Mathematics, Mu'tah University, P.O.
Fawang Liu, Mark M. Meerschaert, Shaher Momani, Nikolai Leonenko, Wen Chen, Om P. Agrawal   +5 more
openaire   +3 more sources

Mixed Collocation for Fractional Differential Equations

Numerical Algorithms, 2003
This paper is concerned with the numerical solution of the initial value problem for the fractional differential equation of order \( \beta, \) \(( 0 < \beta < 1 )\) given by \( D^{\beta} ( u - u_0) = \Phi ( u(t), t), t>0 \), with \( u - u_0 = 0, t \leq 0\) where \( \Phi \) is a sufficiently regular function and \( D^{\beta}\) is the fractional ...
Dubois, François, Mengué, Stéphanie
openaire   +4 more sources

Neural fractional differential equations

Applied Mathematical Modelling
Fractional Differential Equations (FDEs) are essential tools for modelling complex systems in science and engineering. They extend the traditional concepts of differentiation and integration to non-integer orders, enabling a more precise representation of processes characterised by non-local and memory-dependent behaviours.
C. Coelho, M. Fernanda P. Costa, L.L. Ferrás   +2 more
openaire   +3 more sources

The Relationship Between Physical Activity and Left Ventricular Remodeling in Childhood Cancer Survivors Treated With Anthracyclines: A Cross‐Sectional Study

Pediatric Blood &Cancer, EarlyView.
ABSTRACT Introduction Anthracycline‐related cardiac remodeling precedes heart failure in childhood cancer survivors. The objectives of this study were to determine the relationships between patient‐specific factors, moderate‐to‐vigorous physical activity (MVPA), and cardiac remodeling.
Hari K. Narayan, Sitong Chen, F. Lennie Wong, Nathan Young, Anna Qi, Christopher Davis, Sanjeet Hegde, Nicholas Gloude, Kasey J. Leger, Kelly D. Getz, Francisco Contijoch, Kirsten Ness, Bonnie Ky, Dennis Kuo, Sheri J. Hartman, Saro H. Armenian   +15 more
wiley   +1 more source

Protein pyrophosphorylation by inositol pyrophosphates — detection, function, and regulation

FEBS Letters, EarlyView.
Protein pyrophosphorylation is an unusual signaling mechanism that was discovered two decades ago. It can be driven by inositol pyrophosphate messengers and influences various cellular processes. Herein, we summarize the research progress and challenges of this field, covering pathways found to be regulated by this posttranslational modification as ...
Sarah Lampe, Tanmay Kumar Mohanty, Rashna Bhandari, Dorothea Fiedler   +3 more
wiley   +1 more source

The (Glg)ABCs of cyanobacteria: modelling of glycogen synthesis and functional divergence of glycogen synthases in Synechocystis sp. PCC 6803

FEBS Letters, EarlyView.
We reconstituted Synechocystis glycogen synthesis in vitro from purified enzymes and showed that two GlgA isoenzymes produce glycogen with different architectures: GlgA1 yields denser, highly branched glycogen, whereas GlgA2 synthesizes longer, less‐branched chains.
Kenric Lee, Dimitrios Bekiari, Sofia Doello, Karl Forchhammer   +3 more
wiley   +1 more source

Transferrin receptor 1‐mediated iron uptake supports thermogenic activation in human cervical‐derived adipocytes

FEBS Letters, EarlyView.
In this study, we found that human cervical‐derived adipocytes maintain intracellular iron level by regulating the expression of iron transport‐related proteins during adrenergic stimulation. Melanotransferrin is predicted to interact with transferrin receptor 1 based on in silico analysis.
Rahaf Alrifai, Mizuki Seo, Gyath Karadsheh, Fachrur Rizal Mahendra, Máté Á Demény, Ferenc Győry, János András Mótyán, László Fésüs, Endre Kristóf, Rini Arianti   +9 more
wiley   +1 more source