Fractional order heat conduction and thermoelastic response of a thermally sensitive rectangular parallelopiped

In the present paper, problem of finite dimensional rectangular parallelepiped in isotropic thermoelastic medium with convective type heating is considered. The heat conduction equation (HCE) region described by time HC fractional order Caputo derivative form. non-linear form converted to linear Kirchhoff’s transformation. Integral transform technique used deal spatial variables and Laplace derivative. Inverse inverse Fourier are employed expose solution transformed domain. Numerical results obtained for temperature distribution, deflection, stress resultants thermal distribution different values parameter. These presented graphically discussed various parameters. show significant influence on as well distribution. Thermosensitivity plays a vital role analysis any real problems one should consider their effect while dealing materials high environment.