The inverse heat conduction problem (IHCP) has numerous important applications in various sciences and engineering [1].
Differential equations governed by nonlinear differential operators have been extensively studied in the last decade, due to their several applications in various sciences.
During the past decades, fractional differential equations have attracted considerable interest because of their wide applications in various sciences, such as physics, mechanics, chemistry, engineering, electromagnetic, control, etc. (see [1 4]).
During the last few years, fractional differential equations have been studied extensively due to their significant applications in various sciences such as physics, mechanics, chemistry, phenomena arising in engineering.
During the past few decades, neural networks have been extensively investigated and have been found in a wide range of applications in various science and engineering fields, such as signal processing, target tracking, fault diagnosis, pattern recognition, communication, image processing, parallel computation, and industrial automation.
Fractional differential equations have gained considerable importance due to their application in various sciences, such as physics, mechanics, chemistry, engineering, etc.
Because of its wide application in various sciences such as physics, mechanical engineering, control theory and economics, the theory of stochastic partial differential equations has been investigated by many authors, and some fruitful results have already been achieved (see [1 4]).
Recently, fractional differential equations (FDEs) have gained considerable importance due to their application in various sciences, such as control theory [1, 2], viscoelastic materials [3, 4], anomalous diffusion [5 7], advection and dispersion of solutes in porous or fractured media [8], etc. [9 12].
It is caused both by the intensive development of the theory of fractional calculus itself and by the applications of such constructions in various sciences such as physics, mechanics, chemistry, engineering, etc.
It is caused both by the intensive development of the theory of fractional calculus itself and by the applications of such constructions in various sciences such as physics, mechanics, chemistry and engineering.
The motivation for those works arises from both the development of the theory of fractional calculus itself and the applications of such constructions in various sciences such as physics, chemistry, aerodynamics, electrodynamics of the complex medium, and so on.
