Zobrazeno 1 - 10
of 371
pro vyhledávání: '"Fractional derivatives and integrals"'
Publikováno v:
Demonstratio Mathematica, Vol 57, Iss 1, Pp 364-374 (2024)
Inequalities are essential in pure and applied mathematics. In particular, Opial’s inequality and its generalizations have been playing an important role in the study of the existence and uniqueness of initial and boundary value problems. In this w
Externí odkaz:
https://doaj.org/article/8c9a780d65284e468df9d38b306020a6
Publikováno v:
Partial Differential Equations in Applied Mathematics, Vol 11, Iss , Pp 100720- (2024)
In this paper we apply the Riemann–Liouville, Erdelyi–Kober and Caputo fractional operators to the modified beta, modified Gauss hypergeometric and modified confluent hypergeometric functions in which the generalized M-series are included in thei
Externí odkaz:
https://doaj.org/article/cf5252445f42481a8ebaa3c29b831bd1
Autor:
Yong-Ki Ma, M. Mohan Raja, Anurag Shukla, V. Vijayakumar, Kottakkaran Sooppy Nisar, K. Thilagavathi
Publikováno v:
Alexandria Engineering Journal, Vol 81, Iss , Pp 501-518 (2023)
In this manuscript, we look at fractional evolution integrodifferential systems with infinite delay of order r∈(1,2) with control problems. To begin, we establish the mild solution for the given system. Further, we look at the approximate controlla
Externí odkaz:
https://doaj.org/article/5c6e72c5704d45c88f9fb4d5d2edb336
Autor:
Aicha, Sakhri, Merad, Ahcene
Publikováno v:
Arab Journal of Mathematical Sciences, 2021, Vol. 29, Issue 2, pp. 172-190.
Externí odkaz:
http://www.emeraldinsight.com/doi/10.1108/AJMS-05-2021-0109
Autor:
Sakhri Aicha, Ahcene Merad
Publikováno v:
Arab Journal of Mathematical Sciences, Vol 29, Iss 2, Pp 172-190 (2023)
Purpose – This study describes the applicability of the a priori estimate method on a nonlocal nonlinear fractional differential equation for which the weak solution's existence and uniqueness are proved. The authors divide the proof into two secti
Externí odkaz:
https://doaj.org/article/62e86ff89a5943058c56182dc68b9db5
Autor:
Khalid K. Ali, M. Maneea
Publikováno v:
Alexandria Engineering Journal, Vol 72, Iss , Pp 559-572 (2023)
In this paper, a novel method presented in [1] is applied to solve time-fractional Kudryashov-Sinelshchikov equation (KS equation), a nonlinear fractional partial differential equation (NFPDE). This method is highly effective in obtaining approximate
Externí odkaz:
https://doaj.org/article/0fbe54d0e8494b6da50db3ec0136c845
Publikováno v:
AIMS Mathematics, Vol 8, Iss 5, Pp 12486-12505 (2023)
In this paper, the authors work with a general formulation of the fractional derivative of Caputo type. They study oscillatory solutions of differential equations involving these general fractional derivatives. In particular, they extend the Kamenev-
Externí odkaz:
https://doaj.org/article/474d9ee850c146ad8960468de481970a
Publikováno v:
Results in Physics, Vol 51, Iss , Pp 106679- (2023)
In this work, we apply three different techniques to solve the Fitzhugh–Nagumo equation that is an important equation used to describe the propagation of electrical signals in excitable media, such as nerve fibers. Residual power series method (RPS
Externí odkaz:
https://doaj.org/article/70da6b99ea05403bbbb3c4a925b5d2ad
Publikováno v:
Journal of Inequalities and Applications, Vol 2023, Iss 1, Pp 1-18 (2023)
Abstract Inequalities play a major role in pure and applied mathematics. In particular, the inequality plays an important role in the study of Rosseland’s integral for the stellar absorption. In this paper we obtain new Milne-type inequalities, and
Externí odkaz:
https://doaj.org/article/35b83569db7a41a588c37d829bdd2d13
Publikováno v:
Open Mathematics, Vol 20, Iss 1, Pp 946-958 (2022)
Inequalities play an important role in pure and applied mathematics. In particular, Jensen’s inequality, one of the most famous inequalities, plays the main role in the study of the existence and uniqueness of initial and boundary value problems fo
Externí odkaz:
https://doaj.org/article/8b9df8a1a98642ac9e8f180963901df4