Analytical and approximate monotone solutions of the mixed order fractional nabla operators subject to bounded conditions,Mathematical and Computer Modelling of Dynamical Systems

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Analytical and approximate monotone solutions of the mixed order fractional nabla operators subject to bounded conditions
Mathematical and Computer Modelling of Dynamical Systems ( IF 1.8 ) Pub Date : 2024-07-05 , DOI: 10.1080/13873954.2024.2366335
Pshtiwan Othman Mohammed _{1,

2} , Hari Mohan Srivastava _{3,

4,

5} , Dumitru Baleanu _{6,

7} , Eman Al-Sarairah _{8,

9} , Majeed A. Yousif ₁₀ , Nejmeddine Chorfi ₁₁

Affiliation

Department of Mathematics, College of Education, University of Sulaimani, Sulaymaniyah, Iraq
Research and Development Center, University of Sulaimani, Sulaymaniyah, Iraq
Department of Mathematics and Statistics, University of Victoria, Victoria, Canada
Section of Mathematics, International Telematic University Uninettuno, Rome, Italy
Center for Converging Humanities, Kyung Hee University, Seoul, Republic of Korea
Department of Computer Science and Mathematics, Lebanese American University, Beirut, Lebanon
Institute of Space Science-Subsidiary of INFLPR, Magurele-Bucharest, Romania
Department of Mathematics, Khalifa University, Abu Dhabi, UAE
Department of Mathematics, Al-Hussein Bin Talal University, Ma’an, Jordan
Department of Mathematics, College of Education, University of Zakho, Zakho, Iraq
Department of Mathematics, College of Science, King Saud University, Riyadh, Saudi Arabia

In this study, the sequential operator of mixed order is analysed on the domain (μ2,μ1)∈(0,1)×(0,1) with 1<μ2+μ1<2. Then, the positivity of the nabla operator is obtained analytically on a finite t...

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