• The effect of deformation of special relativity by conformable derivative 

  Al-Jamel, Ahmed; Al-Masaeed, Mohamed; Rabei, Eqab. M.; Baleanu, Dumitru (2022-09)

  In this paper, the deformation of special relativity within the frame of conformable derivative is formulated. Within this context, the two postulates of the theory are re-stated. Then, the addition of velocity laws are ...
• On soliton solutions of fractional-order nonlinear model appears in physical sciences 

  Ullah, Naeem; Asjad, Muhammad Imran; Awrejcewicz, Jan; Muhammad, Taseer; Baleanu, Dumitru (2022)

  In wave theory, the higher dimensional non-linear models are very important to define the physical phenomena of waves. Herein study we have built the various solitons solutions of (4+1)- dimensional fractional-order Fokas ...
• On Singular Fifth-Order Boundary Value Problems With Deficiency Indices (5,5) 

  Uğurlu, Ekin; Taş, Kenan (2022)

  This paper is devoted to introduce a way of construction of the well-defined boundary conditions for the solutions of a singular fifth-order equation with deficiency indices (5, 5). Imposing suitable separated and coupled ...
• On Ritz Approximation For A Class Of Fractional Optimal Control Problems 

  Firoozjaee, Mohammad Arab; Jafari, Hossein; Johnston, Sarah Jane; Baleanu, Dumitru (2022-12-01)

  We apply the Ritz method to approximate the solution of optimal control problems through the use of polynomials. The constraints of the problem take the form of differential equations of fractional order accompanied by the ...
• On new computations of the fractional epidemic childhood disease model pertaining to the generalized fractional derivative with nonsingular kernel 

  Rashid, Saima; Jarad, Fahd; Bayones, Fatimah S. (2022)

  The present research investigates the Susceptible-Infected-Recovered (SIR) epidemic model of childhood diseases and its complications with the Atangana-Baleanu fractional derivative operator in the Caputo sense (ABC). With ...
• On nabla conformable fractional Hardy-type inequalities on arbitrary time scales 

  El-Deeb, Ahmed A.; Makharesh, Samer D.; Nwaeze, Eze R; Iyiola, Olaniyi S.; Baleanu, Dumitru (2021)

  The main aim of the present article is to introduce some new ∇-conformable dynamic inequalities of Hardy type on time scales. We present and prove several results using chain rule and Fubini’s theorem on time scales. Our ...
• On Interpolative Hardy-Rogers Type Multivalued Contractions via a Simulation Function 

  Karapınar, Erdal; Ali, Ahsan; Hussain, Azhar; Aydi, Hassen (2022-01)

  In this paper, the notion of multivalued interpolative Hardy-Rogers-contractions using generalized simulation functions is introduced. We establish some related fixed point results and we provide some examples. We also ...
• On Interpolative Boyd-Wong And Matkowski Type Contractions 

  Karapınar, Erdal; Aydi, Hassen; Mitrovic, Zoran D. (2020)

  By using an interpolation approach, we recognize Boyd-Wong and Matkowski type contractions and we prove the related fixed point theorems in the class of metric spaces. The obtained results are supported by some examples. ...
• Case Studies in Thermal Engineering 

  Ud Din, Irfan Saif; Siddique, Imran; Ali, Rifaqat; Jarad, Fahd; Abdal, Sohaib; Hussain, Sajjad (2022-11)

  We scrutinized the influence of nonlinear heat radiation on heat transmission evaluation of Carreau nanofluid and tangent hyperbolic nanofluid streams across a wedge with gyrotactic microorganisms by taking slip situations ...
• On fractional-order symmetric oscillator with offset-boosting control 

  Xu, Changjin; Rahman, Mati Ur; Baleanu, Dumitru (2022)

  This article analyzes the dynamical evolution of a three-dimensional symmetric oscillator with a fractional Caputo operator. The dynamical properties of the considered model such as equilibria and its stability are also ...
• On Extended b -Rectangular and Controlled Rectangular Fuzzy Metric-Like Spaces with Application 

  Saleem, Naeem; Furqan, Salman; Jarad, Fahd (2022)

  In this article, we introduce the notions of extended b-rectangular and controlled rectangular fuzzy metric-like spaces that generalize many fuzzy metric spaces in the literature. We give examples to justify our newly ...
• On dynamic systems in the frame of singular function dependent kernel fractional derivatives 

  Abdeljawad, Thabet; Madjidi, Fadila; Jarad, Fahd; Sene, Ndolane (2019-10-01)

  In this article, we discuss the existence and uniqueness theorem for differential equations in the frame of Caputo fractional derivatives with a singular function dependent kernel. We discuss the Mittag-Leffler bounds of ...
• On boundary value problems of Caputo fractional differential equation of variable order via Kuratowski MNC technique 

  Benkerrouche, Amar; Souid, Mohammed Said; Jarad, Fahd; Hakem, Ali (2022-12)

  In this manuscript, we examine both the existence and the stability of solutions to the boundary value problem of Caputo fractional differential equations of variable order by converting it into an equivalent standard ...
• On Atangana-Baleanu-Type Nonlocal Boundary Fractional Differential Equations 

  Almalahi, Mohammed A.; Panchal, Satish K; Abdo, Mohammed S.; Jarad, F. (2022)

  This research paper is devoted to investigating two classes of boundary value problems for nonlinear Atangana-Baleanu-type fractional differential equations with Atangana-Baleanu fractional integral conditions. The applied ...
• On An Extension Of The Operator With Mittag-Leffler Kernel 

  Al-Refai, Mohammed; Baleanu, Dumitru (2022-08-01)

  Dealing with nonsingular kernels is not an easy task due to their restrictions at origin. In this short paper, we suggest an extension of the fractional operator involving the Mittag-Leffler kernel which admits integrable ...
• On a novel fuzzy fractional retarded delay epidemic model 

  Dhandapani, Prasantha Bharathi; Thippan, Jayakumar; Baleanu, Dumitru; Sivakumar, Vinoth (2022)

  The traditional compartmental epidemic models such as SIR, SIRS, SEIR consider mortality rate as a parameter to evaluate the population changes in susceptible, infected, recovered, and exposed. We present a modern model ...
• On a new and generalized fractional model for a real cholera outbreak 

  Baleanu, Dumitru; Ghassabzade, Fahimeh Akhavan; Nieto, Juan J.; Jajarmi, Amin (2022-11)

  In this paper, a new mathematical model involving the general form of Caputo fractional derivative is studied for a real case of cholera outbreak. Fundamental properties of the new model including the equilibrium points ...
• On a Fractional Parabolic Equation with Regularized Hyper-Bessel Operator and Exponential Nonlinearities 

  Baleanu, Dumitru; Binh, Ho Duy; Nguyen, Anh Tuan (2022-07)

  Recent decades have witnessed the emergence of interesting models of fractional partial differential equations. In the current work, a class of parabolic equations with regularized Hyper-Bessel derivative and the exponential ...
• On (2 + 1)-dimensional physical models endowed with decoupled spatial and temporal memory indices⋆ 

  Jaradat, Imad; Alquran, Marwan; Yousef, Feras; Momani, Shaher; Baleanu, Dumitru (2019-07-01)

  The current work concerns the development of an analytical scheme to handle (2 + 1) -dimensional partial differential equations endowed with decoupled spatial and temporal fractional derivatives (abbreviated by (α, β) ...
• Odd-order differential equations with deviating arguments: asymptomatic behavior and oscillation 

  Muhib, A.; Dassios, I.; Baleanu, D.; Santra, S.S.; Moaaz, O. (2022)

  Despite the growing interest in studying the oscillatory behavior of delay differential equations of even-order, odd-order equations have received less attention. In this work, we are interested in studying the oscillatory ...

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