Existence Results for Some Neutral Partial Functional Differential Equations of Fractional order with State-Dependent Delay
-
Mouffak Benchohra
benchohra@yahoo.com
-
Omar Bennihi
obennihidz@yahoo.fr
-
Khalil Ezzinbi
ezzinbi@ucam.ac.ma
Downloads
DOI:
https://doi.org/10.4067/S0719-06462014000300004Abstract
In this paper we provide sufficient conditions for the existence and uniqueness of mild solutions for a class of neutral partial functional differential equations of fractional order with state-dependent delay. The nonlinear alternative of Frigon-Granas type for contractions maps in Fréchet spaces combined with α-resolvent family is the main tool in our analysis.
Keywords
Most read articles by the same author(s)
- Khalida Aissani, Mouffak Benchohra, Nadia Benkhettou, On Fractional Integro-differential Equations with State-Dependent Delay and Non-Instantaneous Impulses , CUBO, A Mathematical Journal: Vol. 21 No. 1 (2019)
- Mouffak Benchohra, Gaston M. N‘Guérékata, Djamila Seba, Measure of noncompactness and nondensely defined semilinear functional differential equations with fractional order , CUBO, A Mathematical Journal: Vol. 12 No. 3 (2010): CUBO, A Mathematical Journal
- Nadjet Abada, Mouffak Benchohra, Hadda Hammouche, Existence Results for Semilinear Differential Evolution Equations with Impulses and Delay , CUBO, A Mathematical Journal: Vol. 12 No. 2 (2010): CUBO, A Mathematical Journal
- Fatima Si bachir, Saïd Abbas, Maamar Benbachir, Mouffak Benchohra, Gaston M. N‘Guérékata, Existence and attractivity results for \(\psi\)-Hilfer hybrid fractional differential equations , CUBO, A Mathematical Journal: Vol. 23 No. 1 (2021)
- Abdelhamid Bensalem, Abdelkrim Salim, Bashir Ahmad, Mouffak Benchohra, Existence and controllability of integrodifferential equations with non-instantaneous impulses in Fréchet spaces , CUBO, A Mathematical Journal: Vol. 25 No. 2 (2023)
- 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
- Mouffak Benchohra, Fatima-Zohra Mostefai, Weak Solutions of Fractional Order Pettis Integral Inclusions with Multiple Time Delay in Banach Spaces , CUBO, A Mathematical Journal: Vol. 15 No. 1 (2013): CUBO, A Mathematical Journal
- David Békollè, Khalil Ezzinbi, Samir Fatajou, Duplex Elvis Houpa Danga, Fritz Mbounja Béssémè, Convolutions in \((\mu,\nu)\)-pseudo-almost periodic and \((\mu,\nu)\)-pseudo-almost automorphic function spaces and applications to solve integral equations , CUBO, A Mathematical Journal: Vol. 23 No. 1 (2021)
- Abdelhai Elazzouzi, Khalil Ezzinbi, Mohammed Kriche, On the periodic solutions for some retarded partial differential equations by the use of semi-Fredholm operators , CUBO, A Mathematical Journal: Vol. 23 No. 3 (2021)
- Toka Diagana, Khalil Ezzinbi, Mohsen Miraoui, Pseudo-almost periodic and pseudo-almost automorphic solutions to some evolution equations involving theoretical measure theory , CUBO, A Mathematical Journal: Vol. 16 No. 2 (2014): CUBO, A Mathematical Journal
Similar Articles
- E. A. Grove, E. Lapierre, W. Tikjha, On the global behavior of ð‘¥áµ¤â‚Šâ‚ = |ð‘¥áµ¤|− ð‘¦áµ¤ − 1 and ð‘¦áµ¤â‚Šâ‚ = ð‘¥áµ¤ +|ð‘¦áµ¤| , CUBO, A Mathematical Journal: Vol. 14 No. 2 (2012): CUBO, A Mathematical Journal
- George A. Anastassiou, Caputo fractional Iyengar type Inequalities , CUBO, A Mathematical Journal: Vol. 21 No. 2 (2019)
- Ram U. Verma, Linear convergence analysis for general proximal point algorithms involving (H, η) − monotonicity frameworks , CUBO, A Mathematical Journal: Vol. 13 No. 3 (2011): CUBO, A Mathematical Journal
- Stanislas Ouaro, Noufou Rabo, Urbain Traoré, Numerical analysis of nonlinear parabolic problems with variable exponent and \(L^1\) data , CUBO, A Mathematical Journal: Vol. 24 No. 2 (2022)
- Donal O‘Regan, Fixed point theory for compact absorbing contractions in extension type spaces , CUBO, A Mathematical Journal: Vol. 12 No. 2 (2010): CUBO, A Mathematical Journal
- Josefina Alvarez, Hamed M. Obiedat, Characterizations of the Schwartz Space and the Beurling-Björck Space ð”–ω , CUBO, A Mathematical Journal: Vol. 6 No. 4 (2004): CUBO, A Mathematical Journal
- Bernard Helffer, Xing-Bin Pan, On Some Spectral Problems and Asymptotic Limits Occuring in the Analysis of Liquid Crystals , CUBO, A Mathematical Journal: Vol. 11 No. 5 (2009): CUBO, A Mathematical Journal
- Ioannis K. Argyros, Santhosh George, Ball comparison between Jarratt‘s and other fourth order method for solving equations , CUBO, A Mathematical Journal: Vol. 20 No. 3 (2018)
- Leigh C. Becker, T. A. Burton, Jensen's Inequality and Liapunov's Direct Method , CUBO, A Mathematical Journal: Vol. 6 No. 3 (2004): CUBO, A Mathematical Journal
- Ioannis K. Argyros, Santhosh George, Extended domain for fifth convergence order schemes , CUBO, A Mathematical Journal: Vol. 23 No. 1 (2021)
<< < 7 8 9 10 11 12 13 14 15 16 17 18 > >>
You may also start an advanced similarity search for this article.
Downloads
Download data is not yet available.
Published
2014-10-01
How to Cite
[1]
M. Benchohra, O. Bennihi, and K. Ezzinbi, “Existence Results for Some Neutral Partial Functional Differential Equations of Fractional order with State-Dependent Delay”, CUBO, vol. 16, no. 3, pp. 37–53, Oct. 2014.
Issue
Section
Articles
