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The theory is used to establish the solution corresponding to a concentrated heat source acting in an unbounded continuum.
In the present paper, we will study the model (1.3) in the subcritical α > 1 2 and critical case α > 1 2. On the one hand, we will establish the solution with lower regularity for initial data θ 0 ∈ Ḣ 1 , and this improved the global existence for initial data θ0 ∈H s (s > 1) in [1].
Outlining all the various crises that your company may experience will enable you to plan for each and establish the solution.
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With the help of computerized symbolic computations many researchers implemented various methods to establish the solutions to different nonlinear differential equations.
In 2001, Rassias [25] introduced the cubic functional equation (1.2). and established the solution of the Ulam-Hyers stability problem for these cubic mappings.
In this work, we have established the solution of fractional kinetic equation involving k-Struve function with the help of the Sumudu transform and provided its graphical interpretations.
Before establishing the solution of the second S-subproblem, we first give a proposition about sparse projection.
In the sequel, we shall establish the explicit solution to (3.23).
In this section we establish the general solution of functional equation (1.6).
We establish the general solution and prove the generalized Hyers-Ulam stability for the functional equation (1.3).
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