The Unique Limit of the Glimm-Lax Construction for Sobolev Data and Obstructions to 1-d Convex Integration. [PDF]
Cheng J, Faile C, Krupa SG.
europepmc +1 more source
An effective Bombieri–Vinogradov error term for sifting problems
Abstract In number theory, many major results related to the additive properties of primes are proven using the methods of sieve theory. However, in nearly every case, the existing proofs of these results are ineffective, in that explicit values for which they hold cannot be computed.
Daniel R. Johnston
wiley +1 more source
A numerical framework for fractional and fractal-fractional analysis of the Pehlivan chaotic system using Caputo derivative. [PDF]
Vinoth R, Jayalakshmi M.
europepmc +1 more source
Abstract Many regions worldwide, including Subtropical South America (SSA), face significant challenges from convective systems that produce severe weather. However, limited research exists on how these systems may change under future climate conditions.
Anindita Chakraborty +3 more
wiley +1 more source
Analytical investigation of soliton propagation in conformable fractional-order transmission line metamaterials. [PDF]
Almetwally EM +5 more
europepmc +1 more source
Composition of Fractional Integral and Derivative Operators: Summarised in Tables
ABSTRACT This paper compiles a complete, detailed list of composition properties for Riemann–Liouville fractional differintegrals, in all possible cases for orders anywhere in the complex plane, with the results presented clearly in a table for easy visual consumption.
Arran Fernandez
wiley +1 more source
New adaptive memory stochastic fractional operators and their applications in computational intelligence. [PDF]
Khan TU, Al-Juaid BS, Markarian C.
europepmc +1 more source
ABSTRACT We develop a unified mathematical framework extending classical moment theory from discrete integer orders to a continuous spectrum of real orders f>0$$ f>0 $$, providing a systematic statistical characterization of complex systems exhibiting power‐law behavior.
Farrukh A. Chishtie
wiley +1 more source
An Inverse Problem for a Fractional Space-Time Diffusion Equation with Fractional Boundary Condition. [PDF]
Brociek R +4 more
europepmc +1 more source
On the Existence of Solutions of Dynamic Equations on Time Scales in Banach Spaces
ABSTRACT In this paper we address the question of solvability of dynamic equations on time scales in Banach spaces. In particular, our main theorem extends the result for classical differential equations in Banach spaces of Banaś and Goebel established in [5], to an arbitrary time scale.
Dušan Oberta
wiley +1 more source

