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This paper concerns with the existence and uniqueness of fuzzy fractional evolution equation with uncertainty involves function of form <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msup><mrow></mrow><mi>c</mi></msup><msup><mi>D</mi><mi>α</mi></msup><mrow><mi>x</mi><mo>(</mo><mi>t</mi><mo>)</mo></mrow><mo>=</mo><mi>f</mi><mrow><mo>(</mo><mi>t</mi><mo>,</mo><mi>x</mi><mrow><mo>(</mo><mi>t</mi><mo>)</mo></mrow><mo>,</mo><msup><mi>D</mi><mi>β</mi></msup><mi>x</mi><mrow><mo>(</mo><mi>t</mi><mo>)</mo></mrow><mo>)</mo></mrow><mo>,</mo><msup><mi>I</mi><mi>α</mi></msup><mrow><mi>x</mi><mo>(</mo><mn>0</mn><mo>)</mo></mrow><mo>=</mo><msub><mi>x</mi><mn>0</mn></msub><mo>,</mo><msup><mrow><mi>x</mi></mrow><mo>′</mo></msup><mrow><mo>(</mo><mn>0</mn><mo>)</mo></mrow><mo>=</mo><msub><mi>x</mi><mn>1</mn></msub><mo>,</mo></mrow></semantics></math></inline-formula> where <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mn>1</mn><mo><</mo><mi>α</mi><mo><</mo><mn>2</mn><mo>,</mo><mspace width="3.33333pt"></mspace><mspace width="3.33333pt"></mspace><mn>0</mn><mo><</mo><mi>β</mi><mo><</mo><mn>1</mn></mrow></semantics></math></inline-formula>. After determining the equivalent integral form of solution we establish existence and uniqueness by using Rogers conditions, Kooi type conditions and Krasnoselskii-Krein type conditions. In addition, various numerical solutions have been presented to ensure that the main result is true and effective. Finally, a few examples which express fuzzy fractional evolution equations are shown.