On a differential equation involving Hilfer-Hadamard fractional derivative

DOI10.1155/2012/391062zbMath1255.34007OpenAlexW2056510993WikidataQ58696494 ScholiaQ58696494MaRDI QIDQ437548

Nasser-eddine Tatar, M. D. Qassim, Khaled M. Furati

Publication date: 18 July 2012

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2012/391062

Mathematics Subject Classification ID

Fractional ordinary differential equations (34A08)

Related Items

On the nonexistence of global solutions for a class of fractional integro-differential problems, Existence and uniqueness of solutions for system of Hilfer-Hadamard sequential fractional differential equations with two point boundary conditions, On some fractional differential inclusions with random parameters, Nonexistence of global solutions for a fractional differential problem, Coupled systems of Hilfer fractional differential inclusions in Banach spaces, Existence and uniqueness of nonlocal boundary conditions for Hilfer-Hadamard-type fractional differential equations, A qualitative study on generalized Caputo fractional integro-differential equations, Stability of solutions for generalized fractional differential problems by applying significant inequality estimates, Boundary value problems of Hadamard-type fractional differential equations and inclusions with nonlocal conditions, Unnamed Item, Stability of logarithmic type for a Hadamard fractional differential problem, A survey on Hadamard and Hilfer fractional differential equations: Analysis and stability, The nonexistence of global solution for system of \(q\)-difference inequalities, Unnamed Item, Fractal derivative model for air permeability in hierarchic porous media, $q$-ANALOGUE OF HILFER-KATUGAMPOLA FRACTIONAL DERIVATIVES AND APPLICATIONS, Non‐existence of global solution for a nonlinear integro‐differential inequality, Generalized derivatives and Laplace transform in (k,ψ)‐Hilfer form, Nonexistence results for a sequential fractional differential problem, Unnamed Item, Coupled Hilfer fractional differential systems with random effects, Implicit coupled Hilfer-Hadamard fractional differential systems under weak topologies, On the absence of global solutions for some \(q\)-difference inequalities, A review of definitions of fractional derivatives and other operators, Existence and Ulam stability for fractional differential equations of Hilfer-Hadamard type, Unnamed Item, Ulam stability for nonlocal differential equations involving the Hilfer-Katugampola fractional derivative, Hilfer-Katugampola fractional derivatives, Unnamed Item, Unnamed Item, Fractional differential inclusions of Hilfer type under weak topologies in Banach spaces, The foundations of fractional calculus in the Mellin transform setting with applications, On Hilfer fractional difference operator, Hilfer and Hadamard coupled Volterra fractional integro-differential systems with random effects, On an extension of Hadamard fractional derivative, Caputo-Hadamard fractional differential equations in Banach spaces, Well-posedness and stability for a differential problem with Hilfer-Hadamard fractional derivative, On the nonlinear \(varPsi\)-Hilfer fractional differential equations, Initial time difference quasilinearization method for fractional differential equations involving generalized Hilfer fractional derivative, Coupled Hilfer and Hadamard random fractional differential systems with finite delay in generalized Banach spaces

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Existence and uniqueness for a problem involving hilfer fractional derivative
• Riemann-Liouville fractional integro-differential equations with fractional nonlocal integral boundary conditions
• Existence results for a fractional equation with state-dependent delay
• Fractional Bloch equation with delay
• Mellin transform analysis and integration by parts for Hadamard-type fractional integrals
• Long time behavior for a nonlinear fractional model
• Global existence theory and chaos control of fractional differential equations
• Theory of fractional functional differential equations
• On type of periodicity and ergodicity to a class of fractional order differential equations
• Existence and uniqueness of solutions for the Cauchy-type problems of fractional differential equations
• The critical exponent for an ordinary fractional differential problem
• A Cauchy problem for some fractional abstract differential equation with non local conditions
• Integral equations and initial value problems for nonlinear differential equations of fractional order
• A survey on semilinear differential equations and inclusions involving Riemann-Liouville fractional derivative
• On the fractional differential equations
• Fractals and fractional calculus in continuum mechanics
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• Fractional differential equations driven by Lévy noise
• Anlogue realizations of fractional-order controllers.
• Power-type estimates for a nonlinear fractional differential equation
• Existence of fractional differential equations
• Nonlinear differential equations with the Caputo fractional derivative in the space of continuously differentiable functions
• On the Appearance of the Fractional Derivative in the Behavior of Real Materials
• Applications of Fractional Calculus to the Theory of Viscoelasticity
• Weighted Cauchy-type problem of a functional differ-integral equation
• Fractional calculus - A different approach to the analysis of viscoelastically damped structures
• A Theoretical Basis for the Application of Fractional Calculus to Viscoelasticity
• NONLINEAR DIFFERENTIAL EQUATIONS WITH MARCHAUD‐HADAMARD-TYPE FRACTIONAL DERIVATIVE IN THE WEIGHTED SPACE OF SUMMABLE FUNCTIONS
• Some noises withI/fspectrum, a bridge between direct current and white noise
• Analysis of fractional differential equations