Riemann-Liouville
4. Certain Inequalities Related to the Chebyshev's Functional Involving a Riemann-Liouville Operator
... In this paper, the Riemann-Liouville fractional integral is used to establish some integral results related to Chebyshev’s functional in the case of differentiable functions whose derivat[r] ...
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A Novel Image Denoising Algorithm Based on Riemann-Liouville Definition
... Abstract—In this paper, a novel image denoising algorithm named fractional integral image denoising algorithm (FIIDA) is proposed, which based on fractional calculus Riemann-Liouville definition. The ...
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Existence results for Riemann Liouville fractional neutral evolution equations
... However, fractional neutral evolution equations with a Riemann-Liouville fractional derivative have not been considered in the literature. Motivated by the above work, the aim of this paper is to study the ...
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Fractional boundary value problems with Riemann Liouville fractional derivatives
... In this paper, by employing two fixed point theorems of a sum operators, we investigate the existence and uniqueness of positive solutions for the following fractional boundary value problems: –D α 0+ x(t) = f (t, x(t), ...
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Systems of fractional Langevin equations of Riemann Liouville and Hadamard types
... involving Riemann-Liouville- and Caputo-type fractional ...combine Riemann-Liouville- and Hadamard-type Langevin fractional differential equations subject to Hadamard and ...
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Some generalized Riemann Liouville k fractional integral inequalities
... generalized Riemann-Liouville k-fractional inte- gral operators that we need to establish main theorems in the sequel and Section contains some Chebyshev type integral inequalities via generalized ...
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A Novel Numerical Method for Riemann Liouville Fractional Differential Equation
... O h . For the fractional ordinary differential equation with Riemann-Liouville fractional derivative, a novel numerical method (D2 scheme) is derived. The numerical example shows that the proposed ...
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Solutions to Riemann–Liouville fractional integrodifferential equations via fractional resolvents
... to Riemann–Liouville fractional integrodifferential equations in the new frame of fractional resolvents. Some properties of fractional resolvents are given. Then we discuss the sufficient conditions for the ...
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Boundary value problems with four orders of Riemann Liouville fractional derivatives
... In this paper we study a new class of boundary value problems for fractional differential equations which contains Riemann-Liouville fractional derivatives of four orders, two in a fractional differential ...
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Some results on integral inequalities via Riemann–Liouville fractional integrals
... In current continuation, we have incorporated the notion of s – ( α ,m)-convex functions and have established new integral inequalities. In order to generalize Hermite–Hadamard-type inequalities, some new integral ...
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A study of Riemann-Liouville fractional nonlocal integral boundary value problems
... a Riemann-Liouville type fractional differential equation with nonlocal four-point Riemann-Liouville fractional-integral boundary conditions by means of classical fixed point ...
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Uncertain fractional forward difference equations for Riemann–Liouville type
... for Riemann–Liouville type A definition of the UFFDE with Riemann–Liouville type will be exhibited in this ...with Riemann–Liouville type will be provided along with ones for ...
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Abstrac tThis paper gives formulas for Riemann- Liouville impulsive fractional integral calculus and for Riemann- Liouville and Caputo impulsive fractional derivatives.
... with f m x f m x ; x IMP ( defined being bounded arbitrary (for instance, zero) if x IMP . Through a similar reasoning as that used for Riemann-Liouville fractional integral by ...
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Projectile motion via Riemann Liouville calculus
... Some relevant qualitative differences between the Caputo and the Riemann-Liouville approach are indicated. For example, the maximum projectile range is increasing with the order of derivative for the Caputo ...
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Existence results for fractional order pantograph equation with Riemann Liouville derivative l order pantograph equations with Riemann Liouville derivative
... The pantograph equations is a kind of delay differential equations and arise in many applications such as electrodynamics, astrophysics, nonlinear dynamical systems, probability theory on algebraic structures, quantum ...
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On the k-Riemann-Liouville fractional integral and applications
... Mathematician Liouville, Riemann, and Caputo have done major work on fractional calculus, thus Fractional Calculus is a useful mathematical tool for applied ...of Riemann- Liouville fractional ...
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INEQUALITIES GENERATED WITH RIEMANN-LIOUVILLE FRACTIONAL INTEGRAL OPERATOR
... Abstract. The primary objective of this study is to handle new generalized midpoint, trapezoid and Simpson’s type inequalities with the help of Riemann-Liouville fractional integral operator. In order to do ...
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Nonnegative Solutions for a Riemann Liouville Fractional Boundary Value Problem
... the Riemann-Liouville fractional differential equation with integral terms (E) sup- plemented with the boundary conditions (BC) which contain Riemann-Liouville fractional derivatives of ...
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INTERNATIONAL JOURNAL OF ENGINEERING SCIENCES & MANAGEMENT DOUBLE DIRICHLET AVERAGE OF NEW GENERALIZATION OF GENERALIZED M- SERIES AND RIEMANN-LIOUVILLE FRACTIONAL INTEGRAL Manoj Sharma
... DOUBLE DIRICHLET AVERAGE OF NEW GENERALIZATION OF GENERALIZED M- SERIES AND RIEMANN-LIOUVILLE FRACTIONAL INTEGRAL.. Manoj Sharma.[r] ...
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New Riemann-Liouville generalizations for some inequalities of Hardy type
... For our results, some recent results of Hardy type and other interesting inequalities of integer order of integration can be deduced as some special cases.. Keywords: Integral inequaliti[r] ...
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