A new approach on fractional calculus and probability density function
From MaRDI portal
Publication:2132267
DOI10.3934/math.2020451zbMath1484.26004OpenAlexW3083867810MaRDI QIDQ2132267
Saima Rashid, Yu-Ming Chu, Shu-Bo Chen, Rehana Ashraf, Muhammad Aslam Noor
Publication date: 27 April 2022
Published in: AIMS Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/math.2020451
Probability distributions: general theory (60E05) Fractional derivatives and integrals (26A33) Convexity of real functions in one variable, generalizations (26A51) Inequalities involving derivatives and differential and integral operators (26D10)
Related Items (29)
CHAOTIC BEHAVIOR OF MODIFIED STRETCH–TWIST–FOLD FLOW UNDER FRACTAL-FRACTIONAL DERIVATIVES ⋮ STOCHASTIC OPTIMAL CONTROL ANALYSIS FOR THE COVID-19 EPIDEMIC MODEL UNDER REAL STATISTICS ⋮ New fractional approaches for \(n\)-polynomial \(\mathcal{P}\)-convexity with applications in special function theory ⋮ Second-order differential equation: oscillation theorems and applications ⋮ Efficient computations for weighted generalized proportional fractional operators with respect to a monotone function ⋮ New computations for extended weighted functionals within the Hilfer generalized proportional fractional integral operators ⋮ On the Caputo-Fabrizio fractal fractional representation for the Lorenz chaotic system ⋮ New Hermite-Jensen-Mercer-type inequalities via \(k\)-fractional integrals ⋮ SOME FURTHER EXTENSIONS CONSIDERING DISCRETE PROPORTIONAL FRACTIONAL OPERATORS ⋮ On the bounds of the perimeter of an ellipse ⋮ SOME RECENT DEVELOPMENTS ON DYNAMICAL ℏ-DISCRETE FRACTIONAL TYPE INEQUALITIES IN THE FRAME OF NONSINGULAR AND NONLOCAL KERNELS ⋮ On the generalized power-type Toader mean ⋮ Fractional Hermite-Hadamard-type inequalities for interval-valued co-ordinated convex functions ⋮ On more general inequalities for weighted generalized proportional Hadamard fractional integral operator with applications ⋮ On fuzzy Volterra-Fredholm integrodifferential equation associated with Hilfer-generalized proportional fractional derivative ⋮ PREDICTIVE CONTROL OF THE VARIABLE-ORDER FRACTIONAL CHAOTIC ECOLOGICAL SYSTEM ⋮ Refinements of generalised Hermite-Hadamard inequality ⋮ Generalized fractional operator with applications in mathematical physics ⋮ Modeling approach for nanomaterial convective migration with inclusion of Lorentz force ⋮ Simulation of charging of PCM within a duct containing nanoparticles ⋮ Estimation of integral inequalities using the generalized fractional derivative operator in the Hilfer sense ⋮ On discrete fractional integral inequalities for a class of functions ⋮ New formulation for discrete dynamical type inequalities via \(h\)-discrete fractional operator pertaining to nonsingular kernel ⋮ Sharp bounds for the lemniscatic mean by the one-parameter geometric and quadratic means ⋮ Some new inequalities using nonintegral notion of variables ⋮ Ritz approximate method for solving delay fractional optimal control problems ⋮ NEW NEWTON’S TYPE ESTIMATES PERTAINING TO LOCAL FRACTIONAL INTEGRAL VIA GENERALIZED p-CONVEXITY WITH APPLICATIONS ⋮ ACHIEVING MORE PRECISE BOUNDS BASED ON DOUBLE AND TRIPLE INTEGRAL AS PROPOSED BY GENERALIZED PROPORTIONAL FRACTIONAL OPERATORS IN THE HILFER SENSE ⋮ On multi-step methods for singular fractional \(q\)-integro-differential equations
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Logarithmically complete monotonicity properties relating to the gamma function
- Bounds for the remainder in Simpson's inequality via \(n\)-polynomial convex functions of higher order using Katugampola fractional integrals
- Generalized conformable fractional operators
- Existence and uniqueness of weak solutions for a class of fractional superdiffusion equations
- Inequalities involving moments of a continuous random variable defined over a finite interval
- On Pólya-Szegö and Čebyšev type inequalities via generalized \(k\)-fractional integrals
- Association of Jensen's inequality for \(s\)-convex function with Csiszár divergence
- Hermite-Hadamard type inequalities for co-ordinated convex and qausi-convex functions and their applications
- Monotonicity properties and bounds involving the two-parameter generalized Grötzsch ring function
- New Hermite-Hadamard type inequalities for \(n\)-polynomial harmonically convex functions
- Generation of new fractional inequalities via \(n\) polynomials \(s\)-type convexity with applications
- New estimates considering the generalized proportional Hadamard fractional integral operators
- On new fractional integral inequalities for \(p\)-convexity within interval-valued functions
- Some new local fractional inequalities associated with generalized \((s,m)\)-convex functions and applications
- Estimates of quantum bounds pertaining to new \(q\)-integral identity with applications
- A sharp double inequality involving generalized complete elliptic integral of the first kind
- \(2D\) approximately reciprocal \(\rho\)-convex functions and associated integral inequalities
- Refinements of Jensen's and McShane's inequalities with applications
- Conformable fractional integral inequalities for \(GG\)- and \(GA\)-convex functions
- Conformable integral version of Hermite-Hadamard-Fejér inequalities via \(\eta\)-convex functions
- New weighted generalizations for differentiable exponentially convex mapping with application
- Some generalized fractional integral Simpson's type inequalities with applications
- Fractional integral versions of Hermite-Hadamard type inequality for generalized exponentially convexity
- Certain novel estimates within fractional calculus theory on time scales
- Revisiting the Hermite-Hadamard fractional integral inequality via a Green function
- Some unified bounds for exponentially \(tgs\)-convex functions governed by conformable fractional operators
- Fractional generalized Hadamard and Fejér-Hadamard inequalities for \(m\)-convex functions
- A variant of Jensen-type inequality and related results for harmonic convex functions
- On some refinements for inequalities involving zero-balanced hypergeometric function
- On some fractional integral inequalities for generalized strongly modified \(h\)-convex functions
- New Hermite-Hadamard type inequalities for exponentially convex functions and applications
- Ostrowski type inequalities in the sense of generalized \(\mathcal{K}\)-fractional integral operator for exponentially convex functions
- Sharp power mean inequalities for the generalized elliptic integral of the first kind
- New estimates of \(q_1 q_2\)-Ostrowski-type inequalities within a class of \(n\)-polynomial prevexity of functions
- On new unified bounds for a family of functions via fractional \(q\)-calculus theory
- On new modifications governed by quantum Hahn's integral operator pertaining to fractional calculus
- Fractional Hadamard and Fejér-Hadamard inequalities associated with exponentially \((s,m)\)-convex functions
- Some trapezium-like inequalities involving functions having strongly \(n\)-polynomial preinvexity property of higher order
- Some identities of extended degenerate \(r\)-central Bell polynomials arising from umbral calculus
- Petrović-type inequalities for harmonic \(h\)-convex functions
- Answers to three conjectures on convexity of three functions involving complete elliptic integrals of the first kind
- Asymptotic expansion and bounds for complete elliptic integrals
- Sharp rational bounds for the gamma function
- Bounding the convex combination of arithmetic and integral means in terms of one-parameter harmonic and geometric means
This page was built for publication: A new approach on fractional calculus and probability density function
