Jean-Daniel Djida

Jean-Daniel DJIDA

PhD.

My CV (pdf)

About Me

My research interests are Partial Differential Equations, Harmonic Analysis, Integro-differential operators and its applications, Optimal control theory and Shape optimization.

Latest News

List of publications and preprints:

[ 17 ]- Optimal control of diffusion equation with missing data governed by Dirichlet fractional Laplacian.

J-D. Djida and G. M. Mophou. (2018)

[ 16 ]- Interior Regularity Estimates for a Degenerate Elliptic Equation with Mixed Boundary Conditions.

Jean-Daniel Djida and Arran Fernandez. Axioms, 7(65): 1–16, (2018)

[ 15 ]- Wellposedness and boundary regularity for nonlocal parabolic problem with fractional derivative.

Jean-Daniel Djida. (submitted)

[ 14 ]- Well-posedness results for fractional semi-linear wave equations.

J-D. Djida, Arran Fernandez and I. Area. (submitted)

[ 13 ]- A De Giorgi-Nash type theorem for nonlocal time porous medium equations.

J-D. Djida, I. Area and J. J. Nieto. (submitted)

[12]- Nonlocal Time-Porous Medium Equation: Weak Solutions and Finite Speed of Propagation.

J-D. Djida, J. J. Nieto and I. Area. Discrete Continuous Dyn. Syst- B, 22:1, (2019)

[11]- Nonlocal time porous medium equation with fractional time derivative.

J-D. Djida, J. J. Nieto and I. Area. Rev Mat Complut. 32: 273, (2019)

[ 10 ]- Optimal control of diffusion equation with fractional-time derivative with nonlocal and nonsingular Mittag-Leffler kernel.

J-D. Djida, G.M. Mophou and I. Area. J Optim Theory Appl, (2018)

[ 9 ]- Parabolic problem with fractional time derivative with nonlocal and nonsingular Mittag-Leffler kernel.

J-D. Djida, J. J. Nieto, I. Area. Discrete Continuous Dyn. Syst- S, (2019)

[ 8 ]- A new model of groundwater flow within an unconfined aquifer: Application of Caputo-Fabrizio fractional derivative.

P. A. Feulefack, J-D. Djida and Abdon Atangana. Discrete & Continuous Dynamical Systems- B 24:7, (2019)

[ 7 ]- More generalized groundwater model with space-time Caputo Fabrizio fractional differentiation.

J-D. Djida and Abdon Atangana. Numer Methods Partial Differential Eq 33: 1616–1627, (2017)

[ 6 ]- Modelling the movement of groundwater pollution with variable order derivative.

S. N. Kameni, J-D. Djida and Abdon Atangana. J. Nonlinear Sci. Appl., 10: 5422–5432, (2017)

[ 5 ]- Numerical computation of a fractional derivative with non-local and non-singular kernel.

J-D. Djida, Abdon Atangana and I. Area. J Math. Model. Nat. Phenom. 12(3), 14-13 (2017)

[ 4 ]- New numerical scheme of Atangana-Baleanu fractional integral: an application to groundwater flow within leaky aquifer.

J-D. Djida, Abdon Atangana and I. Area. (2016)

[ 3 ]- On Fractional Gram Orthogonal Polynomials.

I. Area, J-D. Djida, J.Losada and Juan J. Nieto. Discrete Dynamics in Nature and Society (2017)

[ 2 ]- Change detection in the dynamics of an intracellular protein synthesis model using nonlinear Kalman filtering.

G. Rigatos, E. Rigatou and J-D. Djida. Math Biosci Eng. 12(5):1017-35. doi: 10.3934/mbe.2015.12.1017, (2015).

[ 1 ]- Detection of parametric changes in the Peyrard-Bishop- Dauxois model of DNA using nonlinear Kalman filtering.

G. Rigatos, E. Rigatou and J-D. Djida. J Biol Phys. 41(1): 59–83, (2015).

Work Experience

Teaching Assistant- African Institute of Mathematical Sciences (AIMS), Cameroon (August 2015 - Present)

Organizing the academic program and to provide individual support in tutorials...

Mathematics Teacher - Sabongari secondary high school, Ngaoundéré, Cameroon (Sept. 2012-Jan. 2013)

Five months of full time teaching of mathematics.

Teaching and Tutoring qualifications

Mathematics: Differential Calculus, Partial Differential Equations, Measure Theory & Probability, Introduction to real and functional analysis, Optimal Control & Optimal Transport theory.