On a new class of fractional operators
From MaRDI portal
Publication:1629909
DOI10.1186/s13662-017-1306-zzbMath1422.26004OpenAlexW2747750973WikidataQ59514365 ScholiaQ59514365MaRDI QIDQ1629909
Dumitru Baleanu, Thabet Abdeljawad, Fahd Jarad, Ekin Ugurlu
Publication date: 7 December 2018
Published in: Advances in Difference Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1186/s13662-017-1306-z
Special integral transforms (Legendre, Hilbert, etc.) (44A15) Fractional derivatives and integrals (26A33) Fractional ordinary differential equations (34A08)
Related Items (only showing first 100 items - show all)
Novel results on trapezoid-type inequalities for conformable fractional integrals ⋮ Some remarks on parameterized inequalities involving conformable fractional operators ⋮ CERTAIN NEW WEIGHTED YOUNG- AND PÓLYA–SZEGÖ-TYPE INEQUALITIES FOR UNIFIED FRACTIONAL INTEGRAL OPERATORS VIA AN EXTENDED GENERALIZED MITTAG-LEFFLER FUNCTION WITH APPLICATIONS ⋮ A THEORETICAL STUDY ON FRACTIONAL EBOLA HEMORRHAGIC FEVER MODEL ⋮ Integral inequalities within the framework of generalized fractional integrals ⋮ On a new definition of fractional differintegrals with Mittag-Leffer kernel ⋮ Exact solutions of fractional partial differential equation systems with conformable derivative ⋮ Frenet frame with respect to conformable derivative ⋮ Hermite-Hadamard and Hermite-Hadamard-Fejer type inequalities involving fractional integral operators ⋮ Some new generalized result of Gronwall-Bellman-Bihari type inequality with some singularity ⋮ DYNAMICAL ANALYSIS OF A NOVEL DISCRETE FRACTIONAL SITRS MODEL FOR COVID-19 ⋮ Study of a generalized Riemann-Liouville fractional integral via convex functions ⋮ On Opial-type inequalities via a new generalized integral operator ⋮ Unified integral operator inequalities via convex composition of two functions ⋮ Ulam stability for delay fractional differential equations with a generalized Caputo derivative ⋮ An efficient operation matrix method for solving fractal-fractional differential equations with generalized Caputo-type fractional-fractal derivative ⋮ On the weighted fractional integral inequalities for Chebyshev functionals ⋮ Hermite-Hadamard type inequalities based on the Erdélyi-Kober fractional integrals ⋮ Acceleration of the order of convergence of a family of fractional fixed-point methods and its implementation in the solution of a nonlinear algebraic system related to hybrid solar receivers ⋮ On a coupled Caputo conformable system of pantograph problems ⋮ On some fractional operators generated from Abel's formula ⋮ New Minkowski and related inequalities via general kernels and measures ⋮ A study on the new class of inequalities of midpoint-type and trapezoidal-type based on twice differentiable functions with conformable operators ⋮ An extensive study on parameterized inequalities for conformable fractional integrals ⋮ A Gronwall inequality and its applications to the Cauchy-type problem under \(\psi\)-Hilfer proportional fractional operators ⋮ Investigation of fractional order inclusion problem with Mittag-Leffler type derivative ⋮ Revisiting generalized Caputo derivatives in the context of two-point boundary value problems with the \(p\)-Laplacian operator at resonance ⋮ Agitation of SARS‐CoV‐2 disease (COVID‐19) using ABC fractional‐order modified SEIR model ⋮ New reverse Hölder-type inequalities and applications ⋮ Conformable fractional Newton-type inequalities with respect to differentiable convex functions ⋮ On some inequalities for uniformly convex mapping with estimations to normal distributions ⋮ Fractional model for the study of the tuberculosis in Mexico ⋮ A study on conformable fractional version of Bullen-type inequalities ⋮ Existence of the positive solutions for boundary value problems of mixed differential equations involving the Caputo and Riemann-Liouville fractional derivatives ⋮ Conformable fractional versions of Hermite-Hadamard-type inequalities for twice-differentiable functions ⋮ On the generalized Fourier transform ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Fractional models with singular and non-singular kernels for energy efficient buildings ⋮ Analytical solutions of Hristov diffusion equations with non-singular fractional derivatives ⋮ Analytical and approximate solutions of (2+1)-dimensional time-fractional Burgers-Kadomtsev-Petviashvili equation ⋮ New k-Conformable Fractional Integral Inequalities ⋮ Inequalities for new class of fractional integral operators ⋮ Classifications and duality relations for several integral transforms ⋮ Unnamed Item ⋮ The Lerch zeta function as a fractional derivative ⋮ Approximate analytical solution of fractional order biochemical reaction model and its stability analysis ⋮ A study on Hermite–Hadamard-type inequalities via new fractional conformable integrals ⋮ Some new generalizations for m-convexity via new conformable fractional integral operators ⋮ Unnamed Item ⋮ Some new inequalities of the Grüss type for conformable fractional integrals ⋮ Generalized Mittag-Leffler input stability of the fractional differential equations ⋮ A simple empirical formula of origin intensity factor in singular boundary method for two-dimensional Hausdorff derivative Laplace equations with Dirichlet boundary ⋮ BOUNDS OF AN INTEGRAL OPERATOR FOR CONVEX FUNCTIONS AND RESULTS IN FRACTIONAL CALCULUS ⋮ Green's function and an inequality of Lyapunov-type for conformable boundary value problem ⋮ 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 ⋮ Note on the generalized conformable derivative ⋮ Explicit iteration to a nonlinear fractional Langevin equation with non-separated integro-differential strip-multi-point boundary conditions ⋮ Chaos in a three-cell population cancer model with variable-order fractional derivative with power, exponential and Mittag-Leffler memories ⋮ Mathematical model for anomalous subdiffusion using comformable operator ⋮ Certain new weighted estimates proposing generalized proportional fractional operator in another sense ⋮ On a Caputo conformable inclusion problem with mixed Riemann-Liouville conformable integro-derivative conditions ⋮ Lyapunov-type inequalities for mixed non-linear forced differential equations within conformable derivatives ⋮ Hermite-Jensen-Mercer type inequalities for conformable integrals and related results ⋮ Approximate solutions for a fractional hybrid initial value problem via the Caputo conformable derivative ⋮ On a new structure of the pantograph inclusion problem in the Caputo conformable setting ⋮ Ostrowski type inequalities via new fractional conformable integrals ⋮ Generalized \(k\)-fractional conformable integrals and related inequalities ⋮ Existence theorems for \(\Psi \)-fractional hybrid systems with periodic boundary conditions ⋮ Fractional version of the Jensen-Mercer and Hermite-Jensen-Mercer type inequalities for strongly h-convex function ⋮ Generalized inequalities for integral operators via several kinds of convex functions ⋮ Stability analysis of boundary value problems for Caputo proportional fractional derivative of a function with respect to another function via impulsive Langevin equation ⋮ Generalization of some fractional versions of Hadamard inequalities via exponentially \((\alpha, h-m)\)-convex functions ⋮ Bounds of a unified integral operator for \((s,m)\)-convex functions and their consequences ⋮ On an integral and consequent fractional integral operators via generalized convexity ⋮ New computations for extended weighted functionals within the Hilfer generalized proportional fractional integral operators ⋮ New bounds for the Ostrowski-type inequalities via conformable fractional calculus ⋮ Bounds of Riemann-Liouville fractional integrals in general form via convex functions and their applications ⋮ Some new inequalities for generalized fractional conformable integral operators ⋮ A basic study of a fractional integral operator with extended Mittag-Leffler kernel ⋮ Derivation of bounds of several kinds of operators via \((s,m)\)-convexity ⋮ On boundedness of unified integral operators for quasiconvex functions ⋮ On the weighted fractional Pólya-Szegö and Chebyshev-types integral inequalities concerning another function ⋮ New Hermite-Jensen-Mercer-type inequalities via \(k\)-fractional integrals ⋮ New generalized Pólya-Szegö and Čebyšev type inequalities with general kernel and measure ⋮ On Ulam-Hyers-Rassias stability of a generalized Caputo type multi-order boundary value problem with four-point mixed integro-derivative conditions ⋮ Some generalized fractional integral inequalities with nonsingular function as a kernel ⋮ Modeling the dynamic of COVID-19 with different types of transmissions ⋮ Analytical solutions for free convection flow of Casson nanofluid over an infinite vertical plate ⋮ Fractional conformable derivatives of Liouville-Caputo type with low-fractionality ⋮ Application of multi-dimensional of conformable Sumudu decomposition method for solving conformable singular fractional coupled Burger's equation ⋮ Enlarged integral inequalities through recent fractional generalized operators ⋮ Design of a high-gain observer for the synchronization of chimera states in neurons coupled with fractional dynamics ⋮ Some generalized Hermite-Hadamard-Fejér inequality for convex functions ⋮ Hilfer fractional differential inclusions with Erdélyi-Kober fractional integral boundary condition ⋮ Novel improved fractional operators and their scientific applications ⋮ On the existence of mild solutions for nonlocal differential equations of the second order with conformable fractional derivative ⋮ Grüss-type integrals inequalities via generalized proportional fractional operators
Cites Work
- Caputo-type modification of the Hadamard fractional derivatives
- On conformable fractional calculus
- New approach to a generalized fractional integral
- On Caputo modification of the Hadamard fractional derivatives
- Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
- Monotonicity results for fractional difference operators with discrete exponential kernels
- On fractional derivatives with exponential kernel and their discrete versions
- On the generalized fractional derivatives and their Caputo modification
- Integration by parts and its applications of a new nonlocal fractional derivative with Mittag-Leffler nonsingular kernel
- A New Approach to Generalized Fractional Derivatives
- Fractional actionlike variational problems
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: On a new class of fractional operators