On the solution set of a fractional integro-differential inclusion involving Caputo-Katugampola derivative
-
Aurelian Cernea
acernea@fmi.unibuc.ro
Downloads
DOI:
https://doi.org/10.4067/S0719-06462017000300031Abstract
We study an initial value problem associated to a fractional integro-differential inclusion defined by Caputo-Katugampola derivative and by a set-valued map with nonconvex values. We prove the arcwise connectedness of the solution set and that the set of selections corresponding to the solutions of the problem considered is a retract of the space of integrable functions on a given interval.
Keywords
Similar Articles
- George A. Anastassiou, Right general fractional monotone approximation , CUBO, A Mathematical Journal: Vol. 17 No. 3 (2015): CUBO, A Mathematical Journal
- Saïd Abbas, Mouffak Benchohra, Jamal-Eddine Lazreg, Gaston M. N‘Guérékata, Hilfer and Hadamard functional random fractional differential inclusions , CUBO, A Mathematical Journal: Vol. 19 No. 1 (2017): CUBO, A Mathematical Journal
- Djalal Boucenna, Abdellatif Ben Makhlouf, Mohamed Ali Hammami, On Katugampola fractional order derivatives and Darboux problem for differential equations , CUBO, A Mathematical Journal: Vol. 22 No. 1 (2020)
- Ganga Ram Gautam, Sandra Pinelas, Manoj Kumar, Namrata Arya, Jaimala Bishnoi, On the solution of \(\mathcal{T}-\)controllable abstract fractional differential equations with impulsive effects , CUBO, A Mathematical Journal: Vol. 25 No. 3 (2023)
- Tatyana A. Komleva, Andrej V. Plotnikov, Natalia V. Skripnik, Some properties of solutions of a linear set-valued differential equation with conformable fractional derivative , CUBO, A Mathematical Journal: Vol. 26 No. 2 (2024)
- Michael Holm, Sum and Difference Compositions in Discrete Fractional Calculus , CUBO, A Mathematical Journal: Vol. 13 No. 3 (2011): CUBO, A Mathematical Journal
- Mouffak Benchohra, Naima Hamidi, Fractional Order Differential Inclusions via the Topological Transversality Method , CUBO, A Mathematical Journal: Vol. 13 No. 2 (2011): CUBO, A Mathematical Journal
- George A. Anastassiou, Spline left fractional monotone approximation involving left fractional differential operators , CUBO, A Mathematical Journal: Vol. 17 No. 1 (2015): CUBO, A Mathematical Journal
- Sapan Kumar Nayak, P. K. Parida, Global convergence analysis of Caputo fractional Whittaker method with real world applications , CUBO, A Mathematical Journal: Vol. 26 No. 1 (2024)
- Rabha W. Ibrahim, Existence of deviating fractional differential equation , CUBO, A Mathematical Journal: Vol. 14 No. 3 (2012): CUBO, A Mathematical Journal
1 2 3 4 5 6 7 8 9 10 11 12 > >>
You may also start an advanced similarity search for this article.
Downloads
Download data is not yet available.
Published
2017-10-01
How to Cite
[1]
A. Cernea, “On the solution set of a fractional integro-differential inclusion involving Caputo-Katugampola derivative”, CUBO, vol. 19, no. 3, pp. 31–42, Oct. 2017.
Issue
Section
Articles
