ON THE GENERALIZED WEIGHTED CAPUTO-TYPE DIFFERENTIAL OPERATOR

DOI10.1142/S0218348X22500323zbMath1495.26011OpenAlexW4206984113MaRDI QIDQ5064337

Jian-Gen Liu, Xiao-Jun Yang, Yi-Ying Feng, Lu-Lu Geng

Publication date: 15 March 2022

Published in: Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218348x22500323

zbMATH Keywords

Riemann-Liouville integralgeneralized weighted Caputo-type differential operatorgeneralized weighted Caputo-type integral operator

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Fractional ordinary differential equations (34A08)

Related Items (4)

FRACTAL TRAVELING WAVE SOLUTIONS FOR THE FRACTAL-FRACTIONAL ABLOWITZ–KAUP–NEWELL–SEGUR MODEL ⋮ ON FRACTIONAL INTEGRALS AND DERIVATIVES OF A FUNCTION WITH RESPECT TO ANOTHER FUNCTION ⋮ Invariant analysis of the linear time-space fractional \((2+1)\)-dimensional Burgers equation ⋮ Similarity solutions to nonlinear models of coupled fractional equations

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Topics in fractional differential equations
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• On group analysis of the time fractional extended \((2+1)\)-dimensional Zakharov-Kuznetsov equation in quantum magneto-plasmas
• More new results on integral inequalities for generalized \(\mathcal{K}\)-fractional conformable integral operators
• New approaches for the solution of space-time fractional Schrödinger equation
• Hermite-Hadamard-type inequalities involving \(\psi\)-Riemann-Liouville fractional integrals via \(s\)-convex functions
• Refinements of some integral inequalities for unified integral operators
• New estimates considering the generalized proportional Hadamard fractional integral operators
• Certain new weighted estimates proposing generalized proportional fractional operator in another sense
• Some unified bounds for exponentially \(tgs\)-convex functions governed by conformable fractional operators
• Ostrowski type inequalities in the sense of generalized \(\mathcal{K}\)-fractional integral operator for exponentially convex functions
• On weighted Atangana-Baleanu fractional operators
• Integral inequalities via Raina's fractional integrals operator with respect to a monotone function
• On new modifications governed by quantum Hahn's integral operator pertaining to fractional calculus
• Existence and uniqueness of uncertain fractional backward difference equations of Riemann-Liouville type
• Fundamental results on weighted Caputo-Fabrizio fractional derivative
• On integrability of the higher dimensional time fractional KdV-type equation
• A review of definitions of fractional derivatives and other operators
• A novel weighted fractional GM(1,1) model and its applications
• Positive solutions for a weighted fractional system
• Fractional Differential Equations Involving Caputo Fractional Derivative with Mittag-Leffler Non-Singular Kernel: Comparison Principles and Applications
• General Fractional Derivatives
• VARIATIONAL PRINCIPLE AND APPROXIMATE SOLUTION FOR THE GENERALIZED BURGERS–HUXLEY EQUATION WITH FRACTAL DERIVATIVE
• NEW GENERALIZATIONS IN THE SENSE OF THE WEIGHTED NON-SINGULAR FRACTIONAL INTEGRAL OPERATOR
• ON THE WEIGHTED FRACTIONAL OPERATORS OF A FUNCTION WITH RESPECT TO ANOTHER FUNCTION
• NEW ESTIMATES OF INTEGRAL INEQUALITIES VIA GENERALIZED PROPORTIONAL FRACTIONAL INTEGRAL OPERATOR WITH RESPECT TO ANOTHER FUNCTION

This page was built for publication: ON THE GENERALIZED WEIGHTED CAPUTO-TYPE DIFFERENTIAL OPERATOR