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- W3048551157 abstract "In this chapter, new generalized fractional integral and derivative operators and some of their applications are presented. These operators are known as left-sided and right-sided generalized conformable fractional operators. These operators are such that they contain several operators of fractional calculus in it. That is, they are the generalization of Katugampola fractional operators, Hadamard fractional operators, Riemann–Liouville fractional operators, conformable fractional operators, and ordinary derivative and integral operators. These operators enjoy some basic properties such as linearity, continuity, and boundedness, etc., which are presented too. To understand the procedure of the obtained results, they are applied to a simple function. Also, a nonlinear generalized conformable fractional differential equation is formed using this new formulation. It is shown that the nonlinear generalized conformable fractional differential equation is equivalent to a Volterra integral equation and the existence and uniqueness of the solution of that nonlinear problem is demonstrated. At the end of this chapter, some Hermite–Hadamard type inequalities for conformable integrals have been presented and discussed their several applications for Trapezoidal formula and means." @default.
- W3048551157 created "2020-08-18" @default.
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- W3048551157 date "2020-08-10" @default.
- W3048551157 modified "2023-10-16" @default.
- W3048551157 title "Generalized Conformable Fractional Operators and Their Applications" @default.
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- W3048551157 doi "https://doi.org/10.1002/9781119654223.ch2" @default.
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