On a Class of Caputo Time Fractional Problems with Boundary Integral Conditions-Reference-Cited by-同舟云学术

On a Class of Caputo Time Fractional Problems with Boundary Integral Conditions

Published:2021-04-01 Issue:3 Volume:7 Page:400-412
ISSN:2351-8227
Container-title:Moroccan Journal of Pure and Applied Analysis
language:en
Short-container-title:

Author:

Aggoun Karim¹,Merad Ahcene¹

Affiliation:

1. Department of Mathematics,Laboratory of Dynamical Systems and Control , University Larbi Ben M’hidi , Oum El Bouaghi , Algeria .

Abstract

Abstract The aim of this paper is to work out the solvability of a class of Caputo time fractional problems with boundary integral conditions. A generalized formula of integration is demonstrated and applied to establish the a priori estimate of the solution, then we prove the existence which is based on the range density of the operator associated with the problem.

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,Control and Optimization,Numerical Analysis,Analysis

Link

https://www.sciendo.com/pdf/10.2478/mjpaa-2021-0027

Reference8 articles.

1. [1] A.A. Alikhanov, A priori estimates for solutions of boundary value problems for fractional-order equations, Differential Equations, Vol. 46, No. 5, pp. 660–666, 2010. https://doi.org/10.1134/S0012266110050058

2. [2] A. Bouziani, Mixed problem with boundary integral conditions for a certain parabolic equation, Journal of Applied Mathematics and Stochastic Analysis, vol. 9, no. 3, pp. 323–330, 1996. https://doi.org/10.1155/S1048953396000305

3. [3] A. Bouziani,Initial boundary value problem with a non-local condition for a viscosity equation, Hindawi Publishing Corp, Vol 30, No.6, pp. 327–338, 2002. https://doi.org/10.1155/S0161171202004167

4. [4] A.L. Marhoune and C. Latrous, A strong solution of a high-order mixed type partial differential equation with integral conditions, Applicable Analysis,Vol. 87, No. 6, pp. 625–634, 2008.

5. [5] A. Merad, A.L. Marhoune, Strong solution for a high order boundary value problem with integral condition, Turkish Journal of Mathematics 37 (2), 299-307, 2013. https://doi.org/10.3906/mat-1105-34