Results 61 to 70 of about 24,283 (189)
Extended Riemann-Liouville fractional derivative operator and its applications [PDF]
Many authors have introduced and investigated certain extended fractional derivative operators. The main object of this paper is to give an extension of the Riemann-Liouville fractional derivative operator with the extended Beta function given by ...
Agarwal, Praveen +2 more
core +1 more source
Quasi‐Trapped Zebra Stripes: Radial Transport Driven by Dual‐Pulse Electric Fields
Abstract Energetic electron spectra in Earth's inner radiation belt often exhibit regular stripe‐like features, known as “zebra stripes,” which are typically attributed to the drift motion of stably‐trapped electrons disturbed by electric field perturbations.
Ziyang Wang +5 more
wiley +1 more source
On Gauge‐Invariant Entire Function Regulators and UV Finiteness in Non Local Quantum Field Theory
We regulate the theory with an entire function of the covariant operator F(□/M∗2)$F(\square /M^{2}_{*})$. In the perturbative vacuum this becomes a momentum‐space factor F(−p2/M∗2)$F(-p^{2}/M^{2}_{*})$ that exponentially damps high momenta, most transparent after Wick rotation, rendering loop integrals UV finite.
J. W. Moffat, E. J. Thompson
wiley +1 more source
We deal with the following Sturm–Liouville boundary value problem: −Ptx′t′+Btxt=λ∇xVt,x, a.e. t∈0,1x0cos α−P0x′0sin α=0x1cos β−P1x′1sin β=0 Under the subquadratic condition at zero, we obtain the existence of two nontrivial solutions and infinitely ...
Dan Liu, Xuejun Zhang, Mingliang Song
doaj +1 more source
Integrating Experimental Imaging and (Quantum‐Deformation)‐Curvature Dynamics in Bleb Morphogenesis
We propose a (q,τ)$$ \left(q,\tau \right) $$‐fractional geometric flow model for cell blebbing that incorporates hereditary memory and viscoelastic effects in curvature‐driven membrane dynamics. Image‐based measurements of bleb geometry are coupled with fractional evolution equations and validated numerically.
Rabha W. Ibrahim +2 more
wiley +1 more source
On Impulsive Boundary Value Problem with Riemann-Liouville Fractional Order Derivative
Our manuscript is devoted to investigating a class of impulsive boundary value problems under the concept of the Riemann-Liouville fractional order derivative. The subject problem is of implicit type. We develop some adequate conditions for the existence
Zareen A. Khan, Rozi Gul, Kamal Shah
doaj +1 more source
A Liouville theorem for Lévy generators [PDF]
AbstractUnder mild assumptions, we establish a Liouville theorem for the “Laplace” equation $$Au=0$$ A u = 0 associated with the infinitesimal generator A of a Lévy process: If u is a weak solution to $$Au=0$$
openaire +2 more sources
A Liouville theorem for ancient solutions to a semilinear heat equation and its elliptic counterpart
We establish the nonexistence of nontrivial ancient solutions to the nonlinear heat equation $u_t=\Delta u+|u|^{p-1}u$ which are smaller in absolute value than the self-similar radial singular steady state, provided that the exponent $p$ is strictly ...
Sourdis, Christos
core
v. Weizsäcker and Heisenberg began their turbulence collaboration in 1945 while still quarantined at Farm Hall. Their papers were submitted separately in 1946 from Göttingen. v. Weizsäcker had derived the 5/3 law for dissipation while using dimensional analysis in real space.
Joseph L. McCauley
wiley +1 more source
Harmonic Liouville Theorem for Exterior Domains
The authors have represented the simple function theoretic proof of a Liouville type theorem for harmonic functions in \(\mathbb{C}\). Moreover this variant of the theorem sligthly generalizes the theorem that has been obtained by F. Cammaroto and A. Chinni.
Nakai, Mitsuru, Tada, Toshimasa
openaire +1 more source

