scientific article; zbMATH DE number 7176253

zbMath1463.35495MaRDI QIDQ5218268

Said Melliani, Mhamed Elomari, Lalla Saadia Chadli

Publication date: 2 March 2020

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

generalized solutionColombeau algebraconform derivativegeneralized conformable semigroup

Mathematics Subject Classification ID

Operations with distributions and generalized functions (46F10) Differentiation (real functions of one variable): general theory, generalized derivatives, mean value theorems (26A24) Fractional derivatives and integrals (26A33) Topological linear spaces of test functions, distributions and ultradistributions (46F05) Fractional partial differential equations (35R11)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• New properties of conformable derivative
• On conformable fractional calculus
• Fractional powers of closed operators and the semigroups generated by them
• Semigroups of linear operators and applications to partial differential equations
• A nonlinear theory of generalized functions.
• A new definition of fractional derivative
• Modified Riemann-Liouville derivative and fractional Taylor series of nondifferentiable. functions. Further results
• Nonlinear Schrödinger equation with singular potential and initial data
• Multiplications of distributions in elasticity and hydrodynamics
• Fractional derivatives of Colombeau generalized stochastic processes defined on R+