On a sum of fractional parts
B. Martić (1964)
Matematički Vesnik
Similarity:
The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
Displaying similar documents to “Abstract differential equations of arbitrary (fractional) orders”
On a sum of fractional parts
Note on the fractional parts of λθⁿ
Masayoshi Hata (2005)
Acta Arithmetica
Similarity:
From Newton's equation to fractional diffusion and wave equations.
Vázquez, Luis (2011)
Advances in Difference Equations [electronic only]
Similarity:
On fractional derivatives
Helena Musielak (1973)
Colloquium Mathematicae
Similarity:
Existence of solutions of generalized fractional differential equation with nonlocal initial condition
Sandeep P. Bhairat, Dnyanoba-Bhaurao Dhaigude (2019)
Mathematica Bohemica
Similarity:
This paper is devoted to studying the existence of solutions of a nonlocal initial value problem involving generalized Katugampola fractional derivative. By using fixed point theorems, the results are obtained in weighted space of continuous functions. Illustrative examples are also given.
Boundary value problems for differential equations with fractional order.
Benchohra, Mouffak, Hamani, Samira, Ntouyas, Sotiris K. (2008)
Surveys in Mathematics and its Applications
Similarity:
On contraction principle applied to nonlinear fractional differential equations with derivatives of order α ∈ (0,1)
Małgorzata Klimek (2011)
Banach Center Publications
Similarity:
One-term and multi-term fractional differential equations with a basic derivative of order α ∈ (0,1) are solved. The existence and uniqueness of the solution is proved by using the fixed point theorem and the equivalent norms designed for a given value of parameters and function space. The explicit form of the solution obeying the set of initial conditions is given.
A Note On Fractional Integration
Branislav Martić (1973)
Publications de l'Institut Mathématique
Similarity:
Existence and uniqueness of integrable solutions to fractional Langevin equations involving two fractional orders with initial value problems
Choukri Derbazi, Hadda Hammouche (2021)
Mathematica Bohemica
Similarity:
We study the existence and uniqueness of integrable solutions to fractional Langevin equations involving two fractional orders with initial value problems. Our results are based on Schauder's fixed point theorem and the Banach contraction principle fixed point theorem. Examples are provided to illustrate the main results.
IVPs for singular multi-term fractional differential equations with multiple base points and applications
Yuji Liu, Pinghua Yang (2014)
Applicationes Mathematicae
Similarity:
The purpose of this paper is to study global existence and uniqueness of solutions of initial value problems for nonlinear fractional differential equations. By constructing a special Banach space and employing fixed-point theorems, some sufficient conditions are obtained for the global existence and uniqueness of solutions of this kind of equations involving Caputo fractional derivatives and multiple base points. We apply the results to solve the forced logistic model with multi-term...
Theorems on some families of fractional differential equations and their applications
Gülçin Bozkurt, Durmuş Albayrak, Neşe Dernek (2019)
Applications of Mathematics
Similarity:
We use the Laplace transform method to solve certain families of fractional order differential equations. Fractional derivatives that appear in these equations are defined in the sense of Caputo fractional derivative or the Riemann-Liouville fractional derivative. We first state and prove our main results regarding the solutions of some families of fractional order differential equations, and then give examples to illustrate these results. In particular, we give the exact solutions for...