On a Weak Solution of a Fractional-order Temporal Equation

Several real-world phenomena emerging in engineering and science fields can be described successfully by developing certain models using fractional-order partial differential equations. The exact, analytical, semi-analytical or even numerical solutions for these should examined investigated distinguishing between their solvablities non-solvabilities. In this paper, we aim to establish some sufficient conditions exploring the existence uniqueness of solution a class initial-boundary value problems with Dirichlet condition. gained results from research paper are established equations method based on Lax Milgram theorem, which relies its construction properties symmetric part bilinear form. theorem is deemed as mathematical scheme that used examine weak These formulated here view Caputo derivative operator, inverse operator Riemann-Louville integral one. will supportive analyzers researchers when equation handled terms finding solution.