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Full-Text Articles in Physical Sciences and Mathematics
Discrete Fractional Hermite-Hadamard Inequality, Aykut Arslan
Discrete Fractional Hermite-Hadamard Inequality, Aykut Arslan
Masters Theses & Specialist Projects
This thesis is comprised of three main parts: The Hermite-Hadamard inequality on discrete time scales, the fractional Hermite-Hadamard inequality, and Karush-Kuhn- Tucker conditions on higher dimensional discrete domains. In the first part of the thesis, Chapters 2 & 3, we define a convex function on a special time scale T where all the time points are not uniformly distributed on a time line. With the use of the substitution rules of integration we prove the Hermite-Hadamard inequality for convex functions defined on T. In the fourth chapter, we introduce fractional order Hermite-Hadamard inequality and characterize convexity in terms of this …
Nabla Fractional Calculus And Its Application In Analyzing Tumor Growth Of Cancer, Fang Wu
Nabla Fractional Calculus And Its Application In Analyzing Tumor Growth Of Cancer, Fang Wu
Masters Theses & Specialist Projects
This thesis consists of six chapters. In the first chapter, we review some basic definitions and concepts of fractional calculus. Then we introduce fractional difference equations involving the Riemann-Liouville operator of real number order between zero and one. In the second chapter, we apply the Brouwer fixed point and Contraction Mapping Theorems to prove that there exists a solution for up to the first order nabla fractional difference equation with an initial condition. In chapter three, we define a lower and an upper solution for up to the first order nabla fractional difference equation with an initial condition. Under certain …
Development Of Fractional Trigonometry And An Application Of Fractional Calculus To Pharmacokinetic Model, Amera Almusharrf
Development Of Fractional Trigonometry And An Application Of Fractional Calculus To Pharmacokinetic Model, Amera Almusharrf
Masters Theses & Specialist Projects
No abstract provided.
Fractional Calculus: Definitions And Applications, Joseph M. Kimeu
Fractional Calculus: Definitions And Applications, Joseph M. Kimeu
Masters Theses & Specialist Projects
No abstract provided.