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Existence Results for Some p-Laplacian Langevin Problems with a ψ-Hilfer Fractional Derivative with Antiperiodic Boundary Conditions

Fractal and Fractional
In this work, we establish the existence of at least one solution for a p-Laplacian Langevin differential equation involving the ψ-Hilfer fractional derivative with antiperiodic boundary conditions. More precisely, we transform the studied problem into a
Lamya Almaghamsi, Samah Horrigue
doaj +1 more source

Delayed Langevin type equations with two fractional derivatives

, 2019
In this paper, we introduce a delayed Mittag-Leffler type function. With the help of the delayed Mittag-Leffler type functions, we give an explicit formula of solutions to linear nonhomogeneous fractional time-delay Langevin equations involving two Riemann-Liouville fractional derivatives. The existence and uniqueness of solutions are obtained by using
openaire +2 more sources

Stability analysis of Caputo q-fractional Langevin differential equations under q-fractional integral conditions

Journal of Inequalities and Applications
The primary objective of the paper is exploring the Ulam stability ( US ) $(\mathcal{US})$ of a Caputo q-fractional Langevin differential equation ( FLDE ) $(\mathcal{FLDE})$ under q-fractional integral boundary conditions ( FIBC s ) $(\mathcal{FIBC}s)$ .
Khurshida Parvin +7 more
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Nonlocal Response in Electrolytic Cells: A Generalized Poisson-Nernst-Planck Model with Memory Effects. [PDF]