Results 81 to 90 of about 120,593 (286)

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.
Diethelm, Kai, Ford, Neville J.
openaire   +3 more sources

Inequalities for α-fractional differentiable functions [PDF]

Journal of Inequalities and Applications, 2017
In this article, we present an identity and several Hermite-Hadamard type inequalities for conformable fractional integrals. As applications, we establish some inequalities for certain special means of two positive real numbers and give the error estimations for the trapezoidal formula.
Yu‐Ming Chu, Muhammad Adil Khan, Tahir Ali, Sever S Dragomir   +3 more
openaire   +5 more sources

Plecstatin inhibits hepatocellular carcinoma tumorigenesis and invasion through cytolinker plectin

Molecular Oncology, EarlyView.
The ruthenium‐based metallodrug plecstatin exerts its anticancer effect in hepatocellular carcinoma (HCC) primarily through selective targeting of plectin. By disrupting plectin‐mediated cytoskeletal organization, plecstatin inhibits anchorage‐dependent growth, cell polarization, and tumor cell dissemination.
Zuzana Outla, Jan Kosla, Magdalena Prechova, Lukas Frick, Patricia Bortel, Yasmin Borutzki, Andrea Bileck, Christopher Gerner, Samuel M. Meier‐Menches, Selma Osmanagic‐Myers, Martin Gregor   +10 more
wiley   +1 more source

Beta Operator with Caputo Marichev-Saigo-Maeda Fractional Differential Operator of Extended Mittag-Leffler Function

Advances in Mathematical Physics, 2021
In this paper, a beta operator is used with Caputo Marichev-Saigo-Maeda (MSM) fractional differentiation of extended Mittag-Leffler function in terms of beta function.
Tayyaba Manzoor, Adnan Khan, Kahsay Godifey Wubneh, Hafte Amsalu Kahsay   +3 more
doaj   +1 more source

Towards the Formalization of Fractional Calculus in Higher-Order Logic

, 2015
Fractional calculus is a generalization of classical theories of integration and differentiation to arbitrary order (i.e., real or complex numbers). In the last two decades, this new mathematical modeling approach has been widely used to analyze a wide ...
AV Oppenheim, B Mathieu, B Ross, BM Vinagreb, BT Krishna, CC Tseng, E Cuestab, FM Atici, FM Atici, G Gonthier, G Maione, GW Leibnitz, I Petrás, I Podlubny, K Ogata, KA Lurie, KB Oldham, KS Miller, M Dalir, M Faryad, M Marín, N Engheta, N Pariz, QA Naqvi, RL Magin, S Das, S Elaydi, SH Taqdees, SK Afshar, TJ Auastasio, U Siddique, U Siddique, XS Yang   +32 more
core   +1 more source

SEPARABLE LOCAL FRACTIONAL DIFFERENTIAL EQUATIONS [PDF]

Fractals, 2016
The concept of local fractional derivative was introduced in order to be able to study the local scaling behavior of functions. However it has turned out to be much more useful. It was found that simple equations involving these operators naturally incorporate the fractal sets into the equations.
openaire   +2 more sources

Fractional differentiability of nowhere differentiable functions and dimensions [PDF]

Chaos: An Interdisciplinary Journal of Nonlinear Science, 1996
Weierstrass’s everywhere continuous but nowhere differentiable function is shown to be locally continuously fractionally differentiable everywhere for all orders below the ‘‘critical order’’ 2−s and not so for orders between 2−s and 1, where s, 1<s<2 is the box dimension of the graph of the function.
Kolwankar, Kiran M., Gangal, Anil D.
openaire   +4 more sources

Phenotypic and genotypic characterization of single circulating tumor cells in the follow‐up of high‐grade serous ovarian cancer

Molecular Oncology, EarlyView.
Single circulating tumor cells (sCTCs) from high‐grade serous ovarian cancer patients were enriched, imaged, and genomically profiled using WGA and NGS at different time points during treatment. sCTCs revealed enrichment of alterations in Chromosomes 2, 7, and 12 as well as persistent or emerging oncogenic CNAs, supporting sCTC identity.
Carolin Salmon, Rui P. L. Neves, Nikolas H. Stoecklein, Sven‐Thorsten Liffers, Jens Siveke, Jan D. Kuhlmann, Pauline Wimberger, Paul Buderath, Rainer Kimmig, Sabine Kasimir‐Bauer   +9 more
wiley   +1 more source

Fractional differentiation composition operators from Sp spaces to Hq spaces [PDF]

Mathematica Moravica
Let Sp be the space of functions analytic on the unit disk and whose derivatives belong to the Hardy space. In this article, we investigate the boundedness and compactness of the fractional differentiation composition operators from Sp spaces into Hardy ...
Borgohain Deepjyoti
doaj   +1 more source

Block Backward Differentiation Formulas for Fractional Differential Equations [PDF]

International Journal of Engineering Mathematics, 2015
This paper concerns the numerical approximation of Fractional Initial Value Problems (FIVPs). This is achieved by constructing k-step continuous BDFs. These continuous schemes are developed via the interpolation and collocation approach and are used to obtain the discrete k-step BDF and (k-1) additional methods which are applied as numerical ...
Biala, T. A., Jator, S. N.
openaire   +1 more source