Results 81 to 90 of about 5,172 (299)
Advances in Nonlinear Analysis, 2015 In this article, the fractional derivatives in the sense of modified Riemann–Liouville and the exp-function method are used to construct exact solutions for some nonlinear partial fractional differential equations via the nonlinear fractional Liouville ...
Guner Ozkan, Bekir Ahmet, Bilgil Halis
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, 1983 This thesis was submitted for the degree of Doctor of Philosophy and awarded by Brunel University.The thesis develops a number of algorithms for the numerical solution of ordinary differential equations with applications to partial differential equations.
Khaliq, Abdul Qayyum Masud
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, 2015 We generalize existing Jacobi--Gauss--Lobatto collocation methods for variable-order fractional differential equations using a singular approximation basis in terms of weighted Jacobi polynomials of the form (1 ± ϰ)μPja,b(ϰ), where μ > -1.
Zhang, Zhongqiang +2 more
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FEBS Open Bio, EarlyView.Pharmacological inhibition of PERK in a DEN‐induced mouse model of liver cancer does not reduce tumor burden but alters cellular stress signaling. Despite blocking PERK activity, downstream stress responses, including CHOP expression, remain active, suggesting compensatory mechanisms within the unfolded protein response that may influence tumor ...
Ada Lerma‐Clavero +5 more
wiley +1 more source
Well-posedness of a class of singular Volterra integral equations on the L^p (p ≥1) space
四川大学学报. 自然科学版, 2022 Motivated by fractional differential equations, we consider the well-posedness of a class of singular Volterra integral equations on the L^p (p ≥1) space by using the fixed point theorem, generalize and improve the known results.
ZHENG Meng-Liang
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Sumudu Transform Method for Analytical Solutions of Fractional Type Ordinary Differential Equations [PDF]
, 2020 We make use of the so-called Sumudu transform method (STM), a type of ordinary differential equations with both integer and noninteger order derivative.
Fethi Bin +3 more
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FEBS Open Bio, EarlyView.Abruptly changing from aerobic to anaerobic conditions (sudden anaerobization) induced growth inhibition and a significant increase in intracellular labile ferrous iron in the aerotolerant anaerobe Amphibacillus xylanus. We found that free flavins mediate efficient electron transfer from NADH to ferric iron under anaerobic conditions, suggesting that ...
Shinya Kimata +13 more
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A conservative numerical method for a time fractional diffusion equation
, 2022 Geometric numerical integration, the branch of numerical analysis with the goal of finding approximate solutions of differential equations that preserve some structure of the continuous problem, is a well established field of research [5]. In particular,
A. Cardone, G. Frasca Caccia
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Aquaporin‐3 and aquaporin‐5 impact the development of pancreatic ductal adenocarcinoma spheroids
FEBS Open Bio, EarlyView.Schematic representation of the role of aquaporin‐3 (AQP3) and aquaporin‐5 (AQP5) in pancreatic ductal adenocarcinoma (PDAC). Both proteins are upregulated in PDAC and are associated with tumor progression and metastatic potential. Silencing AQP3 or AQP5 in PDAC spheroids results in decreased diameter, area, and overall growth, underscoring their key ...
Catarina Pimpão +3 more
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Theories and applications of the inverse fractional natural transform method
Advances in Difference Equations, 2018 In this paper, we propose a new method called the inverse fractional natural transform method (IFNTM). We present theoretical results and apply them to obtain approximate solutions of linear fractional ordinary differential equations (LFODEs) and partial
Mahmoud S. Rawashdeh, Hadeel Al-Jammal
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