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Displaying 141 – 148 of 148

Two-point boundary value problems for the generalized Bagley-Torvik fractional differential equation

Svatoslav Staněk (2013)

Open Mathematics

We investigate the fractional differential equation u″ + A c D α u = f(t, u, c D μ u, u′) subject to the boundary conditions u′(0) = 0, u(T)+au′(T) = 0. Here α ∈ (1, 2), µ ∈ (0, 1), f is a Carathéodory function and c D is the Caputo fractional derivative. Existence and uniqueness results for the problem are given. The existence results are proved by the nonlinear Leray-Schauder alternative. We discuss the existence of positive and negative solutions to the problem and properties of their derivatives....

Unique solvability of fractional functional differential equation on the basis of Vallée-Poussin theorem

Satyam Narayan Srivastava, Alexander Domoshnitsky, Seshadev Padhi, Vladimir Raichik (2023)

Archivum Mathematicum

We propose explicit tests of unique solvability of two-point and focal boundary value problems for fractional functional differential equations with Riemann-Liouville derivative.

Upper and lower solutions method and a fractional differential equation boundary value problem.

Shi, Ailing, Zhang, Shuqin (2009)

Electronic Journal of Qualitative Theory of Differential Equations [electronic only]

Upper and lower solutions method for a class of singular fractional boundary value problems with $p$ -Laplacian operator.

Wang, Jinhua, Xiang, Hongjun (2010)

Abstract and Applied Analysis

Weak solutions to differential equations with left and right fractional derivatives defined on $ℝ$

T. M. Atanacković, S. Pilipović, B. Stanković (2009)

Bulletin, Classe des Sciences Mathématiques et Naturelles, Sciences mathématiques

Weighted Cauchy-type problem of a functional differ-integral equation.

El-Sayed, A.M.A., El-Salam, Sh.A.Abd (2007)

Electronic Journal of Qualitative Theory of Differential Equations [electronic only]

Weighted $S$ -asymptotically $ω$ -periodic solutions of a class of fractional differential equations.

Cuevas, Claudio, Pierri, Michelle, Sepulveda, Alex (2011)

Advances in Difference Equations [electronic only]

α-Mellin Transform and One of Its Applications

Nikolova, Yanka (2012)

Mathematica Balkanica New Series

MSC 2010: 35R11, 44A10, 44A20, 26A33, 33C45We consider a generalization of the classical Mellin transformation, called α-Mellin transformation, with an arbitrary (fractional) parameter α > 0. Here we continue the presentation from the paper [5], where we have introduced the definition of the α-Mellin transform and some of its basic properties. Some examples of special cases are provided. Its operational properties as Theorem 1, Theorem 2 (Convolution theorem) and Theorem 3 (α-Mellin transform...

Displaying 141 – 148 of 148

Currently displaying 141 – 148 of 148