TY  - JOUR
T1  - On the challenge of identifying space dependent coefficient in space-time fractional diffusion equations by fractional scaling transformations method
AU  - Bayrak, Mine Aylin
AU  - Demir, Ali
PY  - 2022
DA  - September
JF  - Turkish Journal of Science
JO  - TJOS
PB  - Ahmet Ocak AKDEMİR
WT  - DergiPark
SN  - 2587-0971
SP  - 132
EP  - 145
VL  - 7
IS  - 2
LA  - en
AB  - In this study, we get over the challenge of recovering unknown space dependent coefficient in space-time fractional diffusion equations by means of  fractional scaling transformations method. Fractional differential equation is given in the sense of the conformable fractional derivative having substantial properties. By these properties and fractional scaling transformations method the fractional problem is reduced into integer order problem which allows us to tackle the problem better. Then we establish the solution and unknown coefficient of the reduced problem. Later, by employing inverse transformation, the solution and unknown coefficient of the fractional problem are obtained. Finally, some examples are presented to illustrate the implementation and effectiveness of the method.
KW  - space time fractional diffusion equation
KW  - fractional scaling transformation method
KW  - conformable fractional derivative
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UR  - https://dergipark.org.tr/tr/pub/tjos/issue//1129744
L1  - https://dergipark.org.tr/tr/download/article-file/2482273
ER  -