论文信息 - Distributional framework for solving fractional differential equations - 字舞流文

Distributional framework for solving fractional differential equations

We analyse the solvability of a special form of distributed order fractional differential equations within 𝒮′+, the space of tempered distributions supported by [0, ∞).

Teodor M. Atanackovic | Stevan Pilipovic | Ljubica Oparnica | T. Atanacković | Ljubica Oparnica | S. Pilipovic

[1] Francesco Mainardi,et al. Some aspects of fractional diffusion equations of single and distributed order , 2007, Appl. Math. Comput..

[2] B. Fishel,et al. TOPOLOGICAL VECTOR SPACES, DISTRIBUTIONS AND KERNELS , 1969 .

[3] H. Kober. ON FRACTIONAL INTEGRALS AND DERIVATIVES , 1940 .

[4] B. Ross,et al. Fractional Calculus and Its Applications , 1975 .

[5] O. Marichev,et al. Fractional Integrals and Derivatives: Theory and Applications , 1993 .

[6] S. Semmes. Topological Vector Spaces , 2003 .

[7] T. Atanacković,et al. On a class of equations arising in linear viscoelasticity theory , 2005 .

[8] T. Atanacković. A generalized model for the uniaxial isothermal deformation of a viscoelastic body , 2002 .

[9] Teodor M. Atanackovic,et al. On a distributed derivative model of a viscoelastic body , 2003 .

[10] T. Atanacković. A modified Zener model of a viscoelastic body , 2002 .

[11] Stevan Pilipović,et al. On a nonlinear distributed order fractional differential equation , 2007 .

[12] T. Atanacković,et al. On a model of viscoelastic rod in unilateral contact with a rigid wall , 2006 .

[13] Teodor M. Atanackovic,et al. Semilinear ordinary differential equation coupled with distributed order fractional differential equation , 2008, 0811.2871.

[14] R. Christensen,et al. Theory of Viscoelasticity , 1971 .