Hossein Jafari, Chaudry M. Khalique, Dumitru Baleanu, "Recent Development in Partial Differential Equations and Their Applications", The Scientific World Journal, vol. Because of the multiscale and nonlinear character, biological processes cannot be explained by purely conceptual models and require tools such as mathematical modelling, analysis and simulation. Turing patterns in reaction diffusion equations. Hi all, it might be a very basic question, but I need some opinions: I need to separate a 294 bp wild type PCR product from a 232 bp knock-out PCR product. Looking for Scopus Journals for Conference Publications. . High percentage agarose gel for better resolution? The purpose of this special issue is to report and review some recent developments in methods and applications of partial differential equations. It is an extremely important ability for enterprises to make production scheduling and response to the changes of customer demand agiely. Within mathematics, a differential equation refers to an equation that brings in association one or more functions and their derivatives. How can I make a size of this matrix smaller? In recent years, the partial differential equations, both fractional and integer orders, have been recognized as a powerful modeling methodology. They are inspired by problems which arise in diverse fields such as biology, fluid dynamics, physics, differential geometry, control theory, materials science, and engineering. In general term, Bayesian estimation provides better results than MLE . Applications of Biochemistry, Genetics and Molecular Biology uses partial differential equations? Fuzzy finite element analysis of heat conduction problems wi... Newton-multigrid for biological reaction-diffusion problems ... https://www.biw.kuleuven.be/biosyst/mebios/postharvest-group/research.html, https://wms.cs.kuleuven.be/groups/NUMA/research/stochastics-and-uncertainty. I want to do DNA extraction out of the gel and then sequence the bands. I thought of using directional derivative but couldn't get along which direction to compare ( the line given in example is just for explaining). I want to know that we have a real system with fractional order state space model. . This special issue contains the papers addressing the recent theoretical advances and experimental results on the topics such as operational calculus and inverse differential operators, global existence and energy decay rates for a Kirchhoff-type wave equation, nonsymmetric system of Keyfitz-Kranzer type, different methods for numerical solution, recent progress on nonlinear Schrödinger systems with quadratic interactions, upper semicontinuity of pullback attractors, numerical modeling, mean-variance portfolio selection, a novel iterative scheme, and the iterative methods of linearization. So I know that at grid point P, the function is not differentiable. In recent years, the partial differential equations, both fractional and integer orders, have been recognized as a powerful modeling methodology. . I really need a help to get a MAPLE, MATLAB or MATHEMATICA code for solving the nonlinear fractional system by using the Homotopy Asymptotic Method (HAM), this system consists of two equations as below: D^a(x(t)) = x(t) - x(t) * y^2(t) ............Equ.1, D^b(y(t)) = (-1/2) y(t) + x^2(t) ............Equ.2, x(0) = 1 and y(0) = 0 (initial conditions), we can consider a and b variant (for example a=2 and b=2). The lower band worked quite well last time, but the sequences of all the upper bands were very messy. We are committed to sharing findings related to COVID-19 as quickly as possible. Also, do you think, the incomplete separation could be the root of the problem or might there be something else? The guest editors would like to express their gratitude to all authors who send their papers to our special issue. They are inspired by problems which arise in diverse fields such as biology, fluid dynamics, physics, differential geometry, control theory, materials science, and engineering. 2014, Article ID 243461, 1 page, 2014. https://doi.org/10.1155/2014/243461, 1Department of Mathematics, University of Mazandaran, Babolsar 47416-95447, Iran, 2International Institute for Symmetry Analysis and Mathematical Modelling, Department of Mathematical Sciences, North-West University, Mafikeng Campus, Private Bag Box X2046, Mmabatho 2735, South Africa, 3Department of Mathematics, Çankaya University, Balgat, 06530 Ankara, Turkey. The method of make-to-order has gradually become the primary mode of production. 23, No.3. How can I get a MATLAB code of numerical methods for solving systems of fractional order differential equations? .. (A/2 + k - l ) [ ( A + 2)pA] + k + 1) X 2 k - ' ( k - l!n - 2 ) . How and what is the best way to collaborate with Scopus indexed journals in different areas. please, can anyone tell me a way to make a size of this matrix smaller because it is out the text in PDF file.