In this article, we investigate some necessary and sufficient conditions required for the existence of solutions for mABC-fractional differential equations (mABC-FDEs) with initial …
In this article, a general nonlinear system of functional differential equations for two types of operators is considered. One of them includes RD β i which are n-operators in the Riemann …
K Zhao - Journal of Inequalities and Applications, 2023 - Springer
The classical p-Laplace equation is one of the special and significant second-order ODEs. The fractional-order p-Laplace ODE is an important generalization. In this paper, we mainly …
The study of variable order differential equations is important in science and engineering for a better representation and analysis of dynamical problems. In the literature, there are …
SR Khirsariya, SB Rao - Mathematical Methods in the Applied …, 2023 - Wiley Online Library
In the present work, the fractional‐order Sawada–Kotera–Ito problem is solved by considering nonlocal Caputo and nonsingular Atangana–Baleanu (ABC) derivatives. The …
Nonlinear differential equations are widely used in everyday scientific and engineering dynamics. Problems involving differential equations of fractional order with initial and phase …
Recently, many studies on fractional coupled systems involving different sequential fractional derivatives have appeared during the past several years. The paper is dealing …
In this article, we focus on the new class of neutral Hilfer fractional differential equations on infinite interval in Banach space. The results are obtained with the help of the theory of …
In this paper, a general system of quadratically perturbed system of modified fractional differential equations (FDEs) is considered for the solution existence, solution uniqueness …