AN EXISTENCE SOLUTION FOR A COUPLED SYSTEM WITH LAPLACIAN OPERATOR AND HILFER DERIVATIVES
Open Access
- 30 June 2022
- journal article
- research article
- Published by Valahia University of Targoviste - Journal of Science and Arts in Journal of Science and Arts
- Vol. 22 (2), 375-388
- https://doi.org/10.46939/j.sci.arts-22.2-a11
Abstract
In this paper, we study the existence of solutions for a coupled system of fractional differential equations with nonlocal integro multi point boundary conditions by using the Laplacian operator and the Hilfer derivatives. The presented results are obtained by the fixed point theorems of Krasnoselskii. An illustrative example is presented at the end to show the applicability of the obtained results. To the best of our knowledge, this is the first time where such problem is considered.Keywords
This publication has 16 references indexed in Scilit:
- On the ψ -Hilfer fractional derivativeCommunications in Nonlinear Science and Numerical Simulation, 2018
- Hadamard-Type Fractional Differential Equations, Inclusions and InequalitiesPublished by Springer Science and Business Media LLC ,2017
- Nonlocal initial value problems for differential equations with Hilfer fractional derivativeApplied Mathematics and Computation, 2015
- Existence of mild solution for evolution equation with Hilfer fractional derivativeApplied Mathematics and Computation, 2015
- Basic Theory of Fractional Differential EquationsPublished by World Scientific Pub Co Pte Ltd ,2013
- Existence and uniqueness for a problem involving Hilfer fractional derivativeComputers & Mathematics with Applications, 2012
- IntroductionPublished by Springer Science and Business Media LLC ,2010
- The Analysis of Fractional Differential EquationsPublished by Springer Science and Business Media LLC ,2010
- Experimental evidence for fractional time evolution in glass forming materialsChemical Physics, 2002
- NOTES AND OBSERVATIONSEnglish, 1955