The present phase studies the solvability of the initial profit problem for the variable-order partial differential equating (FDE) involving the Caputo fractional derivative in Banach room. The existence and differentness of the solution of FDE is intentional using the application of the S-redundancy method. Since the study of concerning qualities not quantities properties usually demands the use of differential and basic inequalities, the S-redundancy method contributes evenly to the study of various possessions such as reliance on initial data, the nearness of solutions, and reliance on parameters and functions involved in the kindliness the FDE. Finally, we illustrate our main result through an model.
Author(s) Details:
Haribhau L. Tidke,
Department
of Mathematics, School of Mathematical Sciences, Kavayitri Bahinabai Chaudhari
North Maharashtra University, Jalgaon, India.
Gajanan
S. Patil,
Department
of Mathematics, PSGVPM's ASC College, Shahada, India.
Please see the link here: https://stm.bookpi.org/RATMCS-V3/article/view/11567
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