![Sample our Engineering & Technology journals, sign in here to start your access, latest two full volumes FREE to you for 14 days]({"type":"image" , "src" : "/sda/5933/TOC-Subject-Sample-2021-Engineering-Tech.jpg"})
ABSTRACT
In this paper, we analyse a new hybrid system of nonlinear impulsive conformable fractional differential equations equipped with Dirichlet boundary conditions. Existence results for the given system are obtained by applying the modern tools of functional analysis. Examples are constructed for the illustration of the obtained results. In the given configuration, our results are new and contribute significantly to the related literature.
Acknowledgments
This project was funded by the Deanship of Scientific Research (DSR), King Abdulaziz University, Jeddah, under grant no. (KEP-PhD-70-130-38). The authors, therefore, acknowledge with thanks DSR technical and financial support. The authors also thank the reviewers for their constructive remarks on our work.
Disclosure statement
No potential conflict of interest was reported by the author(s).
Additional information
Funding
Notes on contributors
Bashir Ahmad
Bashir Ahmad is a Full Professor of Mathematics at King Abdulaziz University, Jeddah, Saudi Arabia. He received his Ph.D. degree from Quaid-i-Azam University, Islamabad, Pakistan in 1995. His research interest includes approximate/numerical methods for nonlinear problems involving a variety of differential equations, existence theory of fractional differential equations, stability and instability properties of dynamical systems, impulsive systems, and Fluid Mechanics. He was honored with “Best Researcher of King Abdulaziz University” award in 2009. He has published 2 books and more than 500 research articles in JCR journals. He has been “Highly-Cited Researcher” in the category of Mathematics (Clarivate Analytics, Web of Science) from 2014 to date. He was the top 1% of reviewers in Mathematics on Publons for the 2018 and 2019 global Peer Review Awards.
Madeaha Alghanmi
Madeaha Alghanmi completed her Ph.D. degree from King Abdulaziz University, Jeddah, Saudi Arabia in 2020. Her research interest includes Monotone iterative techniques for nonlinear problems involving a variety of differential equations, existence theory of fractional differential equations, and impulsive and delay systems. She published several research articles in JCR journals.
Ahmed Alsaedi
Ahmed Alsaedi obtained his Ph.D. degree from Swansea University (UK) in 2002. He has a broad experience of research in applied mathematics. His fields of interest include dynamical systems, nonlinear analysis involving ordinary differential equations, fractional differential equations, boundary value problems, mathematical modeling, biomathematics, Newtonian and Non-Newtonian fluid mechanics. He has published more than 1500 articles in SCI journals. He has supervised several Ph.D. and M.S. students and executed many research projects successfully. He is reviewer of several international journals. He served as the chairman of the mathematics department at KAU and presently he is serving as director of the research program at KAU. Under his great leadership, this program is running quite successfully, and it has attracted many highly rated researchers and distinguished professors from all over the world. He is also the head of NAAM international research group at KAU. He was “Highly-Cited Researcher” in the category of Mathematics in 2018 (Clarivate Analytics, Web of Science).
Ravi P. Agarwal
Ravi P. Agarwal earned his Ph.D. (Mathematics) at the Indian Institute of Technology in Madras, India. Dr. Agarwal has been actively involved in research as well as pedagogical activities for the last 49 years. His major research interests include Numerical Analysis, Differential and Difference Equations, Inequalities, and Fixed-Point Theorems. He has published 44 research monographs and more than 1,700 publications in prestigious mathematics journals. During 1980-81, he was awarded most respected Alexander Von Humboldt Foundation Fellowship to work with Prof. Dr. G. Hammerlin at der Ludwig - Maximilians Universitat, Munchen, Germany. Dr. Agarwal is also the recipient of several notable honors and awards. He has been ranked as a Highly Cited Researcher for 13 consecutive years and has also been recognized as one of the “World's Most Influential Scientific Minds” in 2014 and 2015 by Thomas Reuters (World's most prestigious scientific organization). Dr. Agarwal provided significant service to Texas A&M University-Kingsville. Under his leadership during 2011-19, Department of Mathematics consistently progressed in education and preparation of students, and in the new direction of research. Dr. Agarwal has been regularly disseminating his research at invited talks. He has served over 40 Journals in the capacity of an Editor/Honorary Editor, or Associate Editor, and published 20 books as an editor.