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A New Study On the Mathematical Modelling of Human Liver With Caputo–Fabrizio Fractional Derivative

Baleanu, Dumitru; Jajarmi, Amin; Mohammadi, H.; Rezapour, S. (Elsevier LTD., 2020-05)

In this research, we aim to propose a new fractional model for human liver involving Caputo–Fabrizio derivative with the exponential kernel. Concerning the new model, the existence of a unique solution is explored by using ...
Analysing discrete fractional operators with exponential kernel for positivity in lower boundedness

Mahmood, Sarkhel Akbar; Mohammed, Pshtiwan Othman; Baleanu, Dumitru; Aydi, Hassen; Hamed, Yasser S. (2022)

In this paper we study the positivity analysis problems for discrete fractional operators with exponential kernel, namely the discrete Caputo-Fabrizio operators. The results are applied to a discrete Caputo-Fabrizio-Caputo ...
Analysis of time-fractional dynamical model of romantic and interpersonal relationships with non-singular kernels: A comparative study

Jena, Rajarama Mohan; Chakraverty, Snehashish; Baleanu, Dumitru; Jena, Subrat Kumar (2021-01-30)

The analysis of interpersonal relationships has started to become popular in the last few decades. Interpersonal relationships exist in many ways, including family, friendship, job, and clubs. In this manuscript, we have ...
Comparative simulations for solutions of fractional Sturm-Liouville problems with non-singular operators

Baleanu, Dumitru (Springer Open, 2018-10-03)

In this study, we consider fractional Sturm-Liouville (S-L) problems within non-singular operators. A fractional S-L problem with exponential and Mittag-Leffler kernels is given with different versions in the Riemann-Liouville ...
New stochastic fractional integral and related inequalities of Jensen–Mercer and Hermite–Hadamard–Mercer type for convex stochastic processes

Jarad, Fahd; Sahoo, Soubhagya Kumar; Nisar, Kottakkaran Sooppy; Treanţă, Savin; Emadifar, Homan; Botmart, Thongchai (2023)

In this investigation, we unfold the Jensen–Mercer (J− M) inequality for convex stochastic processes via a new fractional integral operator. The incorporation of convex stochastic processes, the J− M inequality and a ...
On a nonlinear dynamical system with both chaotic and nonchaotic behaviors: a new fractional analysis and control

Baleanu, Dumitru; Sajjadi, Samaneh Sadat; Jajarmi, Amin; Defterli, Özlem (2021-12)

In this paper, we aim to analyze the complicated dynamical motion of a quarter-car suspension system with a sinusoidal road excitation force. First, we consider a new mathematical model in the form of fractional-order ...

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