Compositions of Hadamard-type fractional integration operators and the semigroup property
From MaRDI portal
Publication:1614667
DOI10.1016/S0022-247X(02)00049-5zbMath1027.26004MaRDI QIDQ1614667
Juan J. Trujillo, Paul L. Butzer, Anatoliy Aleksandrovich Kilbas
Publication date: 8 September 2002
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
special functionsMellin transformsfractional integralssemigroup propertyKummer functionHadamard fractional integration
Related Items (only showing first 100 items - show all)
Upper and lower solution methods for impulsive Caputo-Hadamard fractional differential inclusions ⋮ Unnamed Item ⋮ ON SYSTEM OF NONLINEAR HADAMARD FRACTIONAL DIFFERENTIAL EQUATIONS WITH DIFFERENT ORDERS ⋮ Systems of fractional Langevin equations of Riemann-Liouville and Hadamard types ⋮ The general solution of differential equations with Caputo-Hadamard fractional derivatives and impulsive effect ⋮ Existence results for mixed Hadamard and Riemann-Liouville fractional integro-differential equations ⋮ Boundary value problems for impulsive multi-order Hadamard fractional differential equations ⋮ Approximate iterative sequences for positive solutions of a Hadamard type fractional differential system involving Hadamard type fractional derivatives ⋮ Caputo-Hadamard fractional differential equations with nonlocal fractional integro-differential boundary conditions via topological degree theory ⋮ On impulsive partial differential equations with Caputo-Hadamard fractional derivatives ⋮ Explicit iteration to Hadamard fractional integro-differential equations on infinite domain ⋮ Fractional integral problems for Hadamard-Caputo fractional Langevin differential inclusions ⋮ Mellin transforms of generalized fractional integrals and derivatives ⋮ Computing Hadamard type operators of variable fractional order ⋮ On the nonlinear Hadamard-type integro-differential equation ⋮ Positive solutions for Hadamard fractional differential equations on infinite domain ⋮ Caputo-Hadamard fractional differential equation with impulsive boundary conditions ⋮ The general solution for impulsive differential equations with Riemann-Liouville fractional-order \(q\in (1,2)\) ⋮ On the concept of general solution for impulsive differential equations of fractional-order \(q\in (2,3)\) ⋮ Lyapunov-type inequalities for Hadamard fractional differential equation under Sturm-Liouville boundary conditions ⋮ Caputo-type modification of the Hadamard fractional derivatives ⋮ Boundary value problems for Riemann-Liouville fractional differential inclusions with nonlocal Hadamard fractional integral conditions ⋮ Existence and Uniqueness Solutions of a BVP for Nonlinear Caputo-Hadamard Fractional Differential Equation ⋮ Unnamed Item ⋮ Investigation of an implicit Hadamard fractional differential equation with Riemann-Stieltjes integral boundary condition ⋮ On Caputo-Hadamard type coupled systems of nonconvex fractional differential inclusions ⋮ Boundary value problems of Hadamard-type fractional differential equations and inclusions with nonlocal conditions ⋮ Integral inequalities with `maxima' and their applications to Hadamard type fractional differential equations ⋮ Existence theorems for nonlocal multivalued Hadamard fractional integro-differential boundary value problems ⋮ Some Existence and Stability Results of Hilfer-Hadmard Fractional Implicit Differential Equation in a Weighted Space ⋮ Regional gradient controllability of ultra-slow diffusions involving the Hadamard-Caputo time fractional derivative ⋮ Existence results for Hadamard and Riemann-Liouville functional fractional neutral integrodifferential equations with finite delay ⋮ Existence and stability for Hadamard \(p\)-type fractional functional differential equations ⋮ Boundary value problems for nonlinear implicit Caputo-Hadamard-type fractional differential equations with impulses ⋮ Some relations involving a generalized fractional derivative operator ⋮ Unnamed Item ⋮ Unnamed Item ⋮ A new method for converting boundary value problems for impulsive fractional differential equations to integral equations and its applications ⋮ A retrospective on research visits of Paul Butzer's Aachen research group to Eastern Europe and Tenerife ⋮ New conticrete inequalities of the Hermite-Hadamard-Jensen-Mercer type in terms of generalized conformable fractional operators via majorization ⋮ Existence results and Ulam–Hyers stability to impulsive coupled system fractional differential equations ⋮ Fractional-order problem coupled with a second-order Moreau's sweeping process ⋮ On the Hadamard and Riemann-Liouville fractional neutral functional integrodifferential equations with finite delay ⋮ Hardy's inequalities and integral operators on Herz-Morrey spaces ⋮ The complete asymptotic evaluation for Mellin convolution operators ⋮ Unnamed Item ⋮ Solvability for a system of Hadamard-type hybrid fractional differential inclusions ⋮ Numerical solutions of Hadamard fractional differential equations by generalized Legendre functions ⋮ On boundedness of fractional Hadamard integration and Hadamard-type integration in Lebesgue spaces with mixed norm ⋮ On Caputo-Hadamard type fractional impulsive hybrid systems with nonlinear fractional integral conditions ⋮ Positive solutions of singular Hadamard-type fractional differential equations with infinite-point boundary conditions or integral boundary conditions ⋮ Approximation methods for solving fractional equations ⋮ New approach to a generalized fractional integral ⋮ Blow-up solutions for a singular nonlinear Hadamard fractional boundary value problem ⋮ Certain Chebyshev type integral inequalities involving Hadamard's fractional operators ⋮ Fractional integral inequalities via Hadamard's fractional integral ⋮ Existence and uniqueness results for Hadamard-type fractional differential equations with nonlocal fractional integral boundary conditions ⋮ Boundary value problems for Hadamard fractional differential equations with nonlocal multi-point boundary conditions ⋮ Nonlocal Hadamard fractional integral conditions for nonlinear Riemann-Liouville fractional differential equations ⋮ Successive iterations and positive extremal solutions for a Hadamard type fractional integro-differential equations on infinite domain ⋮ Positive solutions for singular Hadamard fractional differential system with four-point coupled boundary conditions ⋮ Generalized Sturm-Liouville and Langevin equations via Hadamard fractional derivatives with anti-periodic boundary conditions ⋮ Existence of periodic solutions for nonlinear implicit Hadamard's fractional differential equations ⋮ Asymptotic behavior of solutions of nonlinear fractional differential equations with Caputo-type Hadamard derivatives ⋮ New results for boundary value problems of Hadamard-type fractional differential inclusions and integral boundary conditions ⋮ Existence and uniqueness of solutions for the Cauchy-type problems of fractional differential equations ⋮ Mellin transform analysis and integration by parts for Hadamard-type fractional integrals ⋮ Nonlinear Langevin equation of Hadamard-Caputo type fractional derivatives with nonlocal fractional integral conditions ⋮ Regional observability for Hadamard-Caputo time fractional distributed parameter systems ⋮ Dilation operators and integral operators on amalgam space \((L_p,l_q)\) ⋮ On the general solution of impulsive systems with Hadamard fractional derivatives ⋮ The general solution of impulsive systems with Caputo-Hadamard fractional derivative of order \(q \in \mathbb{C}(\mathfrak{R}(q) \in(1,2))\) ⋮ The general solution for impulsive differential equations with Hadamard fractional derivative of order \(q \in(1, 2)\) ⋮ The general solution of differential equations with Caputo-Hadamard fractional derivatives and noninstantaneous impulses ⋮ On Caputo modification of the Hadamard fractional derivatives ⋮ Nonlinear Hadamard fractional differential equations with Hadamard type nonlocal non-conserved conditions ⋮ Stirling Functions of the Second Kind in the Setting of Difference and Fractional Calculus ⋮ Further properties of Osler's generalized fractional integrals and derivatives with respect to another function ⋮ Fractional dynamics with non-local scaling ⋮ The foundations of fractional calculus in the Mellin transform setting with applications ⋮ On a Hadamard-type fractional turbulent flow model with deviating arguments in a porous medium ⋮ Nonlocal initial value problems for implicit differential equations with Hilfer–Hadamard fractional derivative ⋮ Hadamard-type fractional differential equations for the system of integral inequalities on time scales ⋮ HERMITE-HADAMARD TYPE INEQUALITIES FOR P-CONVEX FUNCTIONS VIA KATUGAMPOLA FRACTIONAL INTEGRALS ⋮ A fully Hadamard and Erdélyi–Kober-type integral boundary value problem of a coupled system of implicit differential equations ⋮ Hadamard-type fractional calculus in Banach spaces ⋮ Stability analysis of nonlinear Hadamard fractional differential system ⋮ Exponential polynomials, Stirling numbers, and evaluation of some gamma integrals ⋮ On Caputo modification of Hadamard-type fractional derivative and fractional Taylor series ⋮ On positive solutions of a system of equations generated by Hadamard fractional operators ⋮ Necessary and sufficient conditions for the existence of the Hadamard-type fractional derivative ⋮ Existence and H-U stability of solution for coupled system of fractional-order with integral conditions involving Caputo-Hadamard derivatives, Hadamard integrals ⋮ Integral operators on BMO and Campanato spaces ⋮ Unnamed Item ⋮ Asymptotic evaluations for multivariate Mellin convolution operators ⋮ A Chen-type Modification of Hadamard Fractional Integro-Differentiation ⋮ Solvability of Langevin equations with two Hadamard fractional derivatives via Mittag–Leffler functions ⋮ Boundary value problem for a class of fractional integro-differential coupled systems with Hadamard fractional calculus and impulses ⋮ On Hadamard fractional integro-differential boundary value problems ⋮ Existence and uniqueness results for Riemann–Stieltjes integral boundary value problems of nonlinear implicit Hadamard fractional differential equations
Cites Work
This page was built for publication: Compositions of Hadamard-type fractional integration operators and the semigroup property