Results 91 to 100 of about 1,287,523 (215)

Hyperbolic beta integrals [PDF]

arXiv, 2003
Hyperbolic beta integrals are analogues of Euler's beta integral in which the role of Euler's gamma function is taken over by Ruijsenaars' hyperbolic gamma function. They may be viewed as $(q,\widetilde{q})$-bibasic analogues of the beta integral in which the two bases $q$ and $\widetilde{q}$ are interrelated by modular inversion, and they entail $q ...
arxiv  

Fractional-order multivalued problems with non-separated integral-flux boundary conditions

Electronic Journal of Qualitative Theory of Differential Equations, 2015
In this paper, we study the existence of solutions for a new kind of boundary value problem of Caputo type fractional differential inclusions with non-separated local and nonlocal integral-flux boundary conditions.
Bashir Ahmad, Sotiris Ntouyas
doaj   +1 more source

Singularity Structure Analysis, Integrability, Solitons and Dromions in (2+1)-Dimensional Zakharov Equations [PDF]

arXiv, 1999
The (2+1)-dimensional integrable Zakharov equations and their reductions are ...
arxiv  

On Riemann-Stieltjes integral boundary value problems of Caputo-Riemann-Liouville type fractional integro-differential equations

, 2020
Under different criteria, we prove the existence and uniqueness of solutions for a RiemannStieltjes integro-multipoint boundary value problem of Caputo-Riemann-Liouville type fractional integrodifferential equations.
B. Ahmad, A. Alsaedi, Y. Alruwaily
semanticscholar   +1 more source

Computing p-adic integrals using motivic integration [PDF]

arXiv, 2008
We use the theory of motivic integration in order to give a geometric explanation of the behavior of some p-adic integrals.
arxiv  

Extension of rate of change concept: From local to nonlocal operators with applications

Results in Physics, 2020
The concept of rate of change gave birth to numerous important theories and applications in mathematics, applied mathematics and other related academic disciplines.
Abdon Atangana
doaj  

Spherical Couplings and Multiple Elliptic Integrals [PDF]

arXiv, 2013
Various integrals over elliptic integrals are evaluated as couplings on spheres, resulting in some integral and series representations for the mathematical constants $\pi$, $G$ and $\zeta(3)$.
arxiv  

Nontrivial solutions for a Hadamard fractional integral boundary value problem

Electronic Research Archive
In this paper, we studied a Hadamard-type fractional Riemann-Stieltjes integral boundary value problem. The existence of nontrivial solutions was obtained by using the fixed-point method when the nonlinearities can be superlinear, suberlinear, and have ...
Keyu Zhang, Qian Sun, Jiafa Xu
doaj   +1 more source

Existence of Solutions for Singular Second-Order Ordinary Differential Equations with Periodic and Deviated Nonlocal Multipoint Boundary Conditions

Journal of Function Spaces, 2018
This paper studies the existence of continuous solutions for a class of nonlinear singular second-order ordinary differential equations subject to one of the following boundary conditions: periodic-deviated multipoint boundary conditions, periodic ...
Ahmed M. A. El-Sayed, Fatma M. Gaafar
doaj   +1 more source

A tale of Two Integrals: The Probability and Ahmed's Integrals [PDF]

arXiv, 2015
We show that Ahmed's Integral is closely related to the fourth power of the Probability ...
arxiv