A. Education

B. Academic Titles

C. Work Experience

D. Publications

Publications in International Refereed Journals (SCI & SSCI & Arts and Humanities)

• Mahmodouv, N., Almatarneh, A., ” Stability of Ulam–Hyers and Existence of Solutions for Impulsive Time-Delay Semi-Linear Systems with Non-Permutable Matrices.” Journal of Mathematics and Phisics MDPI, Vol. 8, No. 4, 2019, p.1-17, Non linear Equations: Theory, Methods and Applications. Online ISSN: 2075-1680

Conference Publications

• Almatarneh, A., ” Fractional Calculus and Applications “. 4th International Conference on Computational Mathematics and Engineering Sciences, Antalya, Turkey,2019
• Almatarneh, A., ” Some Results on Boundary Value Problems for Nonlinear Impulsive Caputo–Hadamard-Type Fractional Differential Equations.”
• International science and technology conference, Nicosia, N. Cyprus,2020

Research Topics

1.  Research topics on the existence and uniqueness of solutions for a boundary value problem for nonlinear impulsive fractional differential equations with Caputo– Hadamard type fractional derivatives. The stability is also discussed. The arguments are based on the Banach contraction principle and Schaefer’s fixed-point theorem
2.  Research topics on asymptotic and Ulam-Hyers stabilities in two cases linear and nonlinear time-delay systems of linear impulsive constrains are studied. The linear parts of the impulsive systems are defined by non-permutable matrices.
3. Research topics on solution for linear impulsive delay systems with non-permutable matrices in explicit form, current notion of impulsive delayed matrix exponential is presented. Using the representation formula and norm estimation of impulsive delayed matrix exponential, sufficient conditions for the asymptotic and Ulam-Hyers stabilities are obtained.