Results 71 to 80 of about 614 (214)
Improved Aftershock Forecasts Using Mainshock Information in the Framework of the ETAS Model
Journal of Geophysical Research: Solid Earth, Volume 130, Issue 2, February 2025.Abstract The Epidemic Type Aftershock Sequence (ETAS) model is the most widely used and powerful statistical model for aftershock forecasting. While the distribution of aftershocks around the mainshock is anisotropic, the spatial probability density function of the ETAS model is commonly assumed to be isotropic due to insufficient information.
Behnam M. Asayesh +2 more
wiley +1 more source
Abstract and Applied Analysis, Volume 2025, Issue 1, 2025.The Fractional Power Series Method (FPSM) is an effective and efficient method that offers an analytic method to find exact solution for Fractional Partial Differential Equations (FPDEs) in a functional space. In recent time, the FPSM has been applied in various science and engineering fields to solve physical problems in areas such as fluid dynamics ...
Isaac Addai +4 more
wiley +1 more source
On a problem for mixed type equation with partial riemann-liouville fractional derivative
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2016 The uniqueness and existence of solutions of a nonlocal problem proved for an equation of mixed type. This equation contains diffusion equation of fractional order.
Oleg A Repin, Anna V Tarasenko
doaj +1 more source
Advances in High Energy Physics, 2018 We examine the expansions of the solutions of the general Heun equation in terms of the Gauss hypergeometric functions. We present several expansions using functions, the forms of which differ from those applied before.
T. A. Ishkhanyan +2 more
doaj +1 more source
Subordination Involving Gauss Hypergeometric Function
The primary objective of this work is to obtain some sufficient conditions so that normalized Gauss hypergeometric function satisfies exponential starlikeness and convexity in the unit disk. Moreover, conditions on parameter of this function has been derived for being Janowski convexity and starlikeness with the help of differential subordination ...
Kumar, Anish, Das, Sourav
openaire +2 more sources
Axioms, 2012 Recently, an extended operator of fractional derivative related to a generalized Beta function was used in order to obtain some generating relations involving the extended hypergeometric functions [1].
H. M. Srivastava +2 more
doaj +1 more source
Certain Results on Extended Beta and Related Functions Using Matrix Arguments
Journal of New TheoryIn this study, we present and explore extended beta matrix functions (EBMFs) and their key properties. By utilizing the beta matrix function (BMF), we introduce novel extensions of the Gauss hypergeometric matrix function (GHMF) and Kummer hypergeometric
Saddam Husain +2 more
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Solution of abel‐type hypergeometric integral equation
Mathematical Modelling and Analysis, 1997 The paper is devoted to the study of the one‐dimensional integral equation involving the Gauss hypergeometric function in the kernel. The necessary and sufficient conditions for the solvability of such an equation in the space of summable functions are ...
A. A. Kilbas +3 more
doaj +1 more source
The Saigo operator applied to some special functions
Revista Técnica de la Facultad de Ingeniería, 2010 The Saigo fractional operators are defined using the Gauss hypergeometric functions as kernel. They generalize Riemann-Liouville, Erdélyi-Kober and Weyl operators.
Josefina Matera, Beatriz González
doaj