Hi Prakash,
I've seen your design. There is nothing wrong with that I guess however, you can use smaller substrate.
What I understood from the paper, the authors didn't simulate the structure but got the results by experiment. You can also build such a structure to see whether you get the same results.
It is written in the paper "Impedance matching is achieved by changing the length of arm 1 and frequency tuning by adjusting the length of arm 2". You can also change these two to find expected behaviour.
regards,
shameemkabir