Stability of mild solutions of the fractional nonlinear abstract Cauchy problem
Since the first work on Ulam-Hyers stabilities of differential equation solutions to date, many important and relevant papers have been published, both in the sense of integer order and fractional order differential equations.
J. Vanterler da C. Sousa+2 more
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Social context prevents heat hormetic effects against mutagens during fish development
This study shows that sublethal heat stress protects fish embryos against ultraviolet radiation, a concept known as ‘hormesis’. However, chemical stress transmission between fish embryos negates this protective effect. By providing evidence for the mechanistic molecular basis of heat stress hormesis and interindividual stress communication, this study ...
Lauric Feugere+5 more
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Controllability of Hilfer fractional Langevin evolution equations
The existence of fractional evolution equations has attracted a growing interest in recent years. The mild solution of fractional evolution equations constructed by a probability density function was first introduced by El-Borai.
Haihua Wang, Junhua Ku
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Smoothness of the fundamental solution of Schrödinger equations with mild trapping [PDF]
In this short note, smoothness of the fundamental solution of Schr\"odinger equations on a complete manifold is studied. It is shown that (1) the fundamental solution is smooth under "mild" trapping conditions; (2) there is a Riemannian manifold which is equal to Euclidean space outside a compact set such that the fundamental solution is not smooth.
arxiv
KMT2A degradation is observed in decitabine‐responsive acute lymphoblastic leukemia cells
We demonstrate that decitabine (DEC) not only degrades the DNA methyltransferase DNMT1 but also the leukemic driver lysine methyltransferase KMT2A likely due to structural similarity of the DNA‐binding CXXC domains. DEC influences KMT2A downstream processes and synergizes with menin inhibitor revumenib (REV) to decrease leukemic cell proliferation, and
Luisa Brock+10 more
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Existence of mild solutions for quasilinear integrodifferential equations with impulsive conditions
We prove the existence and uniqueness of mild solutions of quasilinear integrodifferential equations with nonlocal and impulsive conditions in Banach spaces. The results are obtained by using a fixed point technique and semigroup theory. Examples are
Krishnan Balachandran+1 more
doaj
Pancreatic ductal adenocarcinoma (PDAC) is a disease with very poor prognosis due to therapeutic limitations. We investigated the antitumor effects of cystatin A (CSTA) in PDAC murine models. We are first to confirm that CSTA enhances T helper type 1‐mediated antitumor effects through promotion of dendritic cells and M1 macrophage activity. CSTA can be
Alessandro Nasti+8 more
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Conformable Fractional Cosine Families of Operators
In this paper we are concerned with the problem \begin{eqnarray*}\begin{cases} u^{(\alpha)}(t)=Au(t)+f(t,u(t))& t\in [0,T]\\ u(0)=u_0, D^{\alpha}u(0)=u_1\end{cases}\end{eqnarray*} \begin{eqnarray*} \begin{cases} u^{(\alpha)}(t)=Au(t)+f(t,u(t)
L. S. Chadli+2 more
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Stochastic variation in the FOXM1 transcription program mediates replication stress tolerance
Cellular heterogeneity is a major cause of drug resistance in cancer. Segeren et al. used single‐cell transcriptomics to investigate gene expression events that correlate with sensitivity to the DNA‐damaging drugs gemcitabine and prexasertib. They show that dampened expression of transcription factor FOXM1 and its target genes protected cells against ...
Hendrika A. Segeren+4 more
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Boundary controllability of impulsive nonlinear fractional delay integro-differential system
By using the strongly continuous semigroup theory and the Banach contraction principle, we study the boundary controllability of time varying delay impulsive nonlinear fractional integrodifferential system in Banach spaces.
Hamdy M. Ahmed
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